Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(5,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 25, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.bc (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 5.15 | ||
Character | \(\chi\) | \(=\) | 231.5 |
Dual form | 231.2.bc.a.185.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0516949 | − | 0.243205i | 0.0365538 | − | 0.171972i | −0.956084 | − | 0.293093i | \(-0.905315\pi\) |
0.992638 | + | 0.121121i | \(0.0386488\pi\) | |||||||
\(3\) | −1.57829 | + | 0.713452i | −0.911224 | + | 0.411912i | ||||
\(4\) | 1.77061 | + | 0.788328i | 0.885307 | + | 0.394164i | ||||
\(5\) | −2.20131 | − | 2.44480i | −0.984454 | − | 1.09335i | −0.995628 | − | 0.0934089i | \(-0.970224\pi\) |
0.0111742 | − | 0.999938i | \(-0.496443\pi\) | |||||||
\(6\) | 0.0919260 | + | 0.420730i | 0.0375286 | + | 0.171762i | ||||
\(7\) | −1.85363 | − | 1.88787i | −0.700605 | − | 0.713549i | ||||
\(8\) | 0.575550 | − | 0.792176i | 0.203488 | − | 0.280077i | ||||
\(9\) | 1.98197 | − | 2.25206i | 0.660658 | − | 0.750687i | ||||
\(10\) | −0.708384 | + | 0.408986i | −0.224011 | + | 0.129333i | ||||
\(11\) | 0.953978 | − | 3.17646i | 0.287635 | − | 0.957740i | ||||
\(12\) | −3.35697 | + | 0.0190406i | −0.969074 | + | 0.00549654i | ||||
\(13\) | 3.76023 | − | 1.22177i | 1.04290 | − | 0.338859i | 0.263022 | − | 0.964790i | \(-0.415281\pi\) |
0.779879 | + | 0.625931i | \(0.215281\pi\) | |||||||
\(14\) | −0.554964 | + | 0.353219i | −0.148320 | + | 0.0944017i | ||||
\(15\) | 5.21853 | + | 2.28806i | 1.34742 | + | 0.590775i | ||||
\(16\) | 2.43088 | + | 2.69977i | 0.607720 | + | 0.674942i | ||||
\(17\) | −2.09698 | + | 0.445727i | −0.508592 | + | 0.108105i | −0.455059 | − | 0.890461i | \(-0.650382\pi\) |
−0.0535336 | + | 0.998566i | \(0.517048\pi\) | |||||||
\(18\) | −0.445256 | − | 0.598447i | −0.104948 | − | 0.141055i | ||||
\(19\) | −1.08638 | − | 2.44005i | −0.249232 | − | 0.559785i | 0.744996 | − | 0.667069i | \(-0.232451\pi\) |
−0.994228 | + | 0.107284i | \(0.965785\pi\) | |||||||
\(20\) | −1.97036 | − | 6.06414i | −0.440586 | − | 1.35598i | ||||
\(21\) | 4.27246 | + | 1.65713i | 0.932327 | + | 0.361615i | ||||
\(22\) | −0.723218 | − | 0.396220i | −0.154191 | − | 0.0844743i | ||||
\(23\) | −2.67289 | − | 1.54319i | −0.557336 | − | 0.321778i | 0.194740 | − | 0.980855i | \(-0.437614\pi\) |
−0.752075 | + | 0.659077i | \(0.770947\pi\) | |||||||
\(24\) | −0.343203 | + | 1.66091i | −0.0700559 | + | 0.339031i | ||||
\(25\) | −0.608646 | + | 5.79088i | −0.121729 | + | 1.15818i | ||||
\(26\) | −0.102757 | − | 0.977669i | −0.0201523 | − | 0.191737i | ||||
\(27\) | −1.52138 | + | 4.96844i | −0.292790 | + | 0.956177i | ||||
\(28\) | −1.79380 | − | 4.80396i | −0.338996 | − | 0.907864i | ||||
\(29\) | −0.643112 | − | 0.885167i | −0.119423 | − | 0.164371i | 0.745120 | − | 0.666930i | \(-0.232392\pi\) |
−0.864543 | + | 0.502559i | \(0.832392\pi\) | |||||||
\(30\) | 0.826241 | − | 1.15089i | 0.150850 | − | 0.210124i | ||||
\(31\) | −1.74746 | − | 1.57342i | −0.313852 | − | 0.282594i | 0.497116 | − | 0.867684i | \(-0.334392\pi\) |
−0.810968 | + | 0.585090i | \(0.801059\pi\) | |||||||
\(32\) | 2.47826 | − | 1.43082i | 0.438098 | − | 0.252936i | ||||
\(33\) | 0.760604 | + | 5.69399i | 0.132404 | + | 0.991196i | ||||
\(34\) | 0.533039i | 0.0914154i | ||||||||
\(35\) | −0.535066 | + | 8.68753i | −0.0904426 | + | 1.46846i | ||||
\(36\) | 5.28467 | − | 2.42509i | 0.880779 | − | 0.404181i | ||||
\(37\) | −0.441891 | − | 4.20431i | −0.0726464 | − | 0.691185i | −0.968868 | − | 0.247578i | \(-0.920365\pi\) |
0.896222 | − | 0.443607i | \(-0.146301\pi\) | |||||||
\(38\) | −0.649592 | + | 0.138075i | −0.105378 | + | 0.0223987i | ||||
\(39\) | −5.06305 | + | 4.61105i | −0.810736 | + | 0.738359i | ||||
\(40\) | −3.20367 | + | 0.336719i | −0.506545 | + | 0.0532400i | ||||
\(41\) | 7.00598 | + | 5.09014i | 1.09415 | + | 0.794947i | 0.980095 | − | 0.198528i | \(-0.0636160\pi\) |
0.114055 | + | 0.993474i | \(0.463616\pi\) | |||||||
\(42\) | 0.623887 | − | 0.953421i | 0.0962679 | − | 0.147116i | ||||
\(43\) | −8.92506 | −1.36106 | −0.680530 | − | 0.732721i | \(-0.738250\pi\) | ||||
−0.680530 | + | 0.732721i | \(0.738250\pi\) | |||||||
\(44\) | 4.19322 | − | 4.87225i | 0.632152 | − | 0.734519i | ||||
\(45\) | −9.86876 | + | 0.111954i | −1.47115 | + | 0.0166891i | ||||
\(46\) | −0.513487 | + | 0.570286i | −0.0757096 | + | 0.0840840i | ||||
\(47\) | −4.09647 | + | 1.82387i | −0.597531 | + | 0.266038i | −0.683136 | − | 0.730291i | \(-0.739384\pi\) |
0.0856048 | + | 0.996329i | \(0.472718\pi\) | |||||||
\(48\) | −5.76278 | − | 2.52669i | −0.831785 | − | 0.364696i | ||||
\(49\) | −0.128128 | + | 6.99883i | −0.0183040 | + | 0.999832i | ||||
\(50\) | 1.37691 | + | 0.447385i | 0.194724 | + | 0.0632698i | ||||
\(51\) | 2.99163 | − | 2.19958i | 0.418912 | − | 0.308003i | ||||
\(52\) | 7.62108 | + | 0.801008i | 1.05685 | + | 0.111080i | ||||
\(53\) | 9.56315 | + | 8.61069i | 1.31360 | + | 1.18277i | 0.969848 | + | 0.243709i | \(0.0783642\pi\) |
0.343751 | + | 0.939061i | \(0.388303\pi\) | |||||||
\(54\) | 1.12970 | + | 0.626851i | 0.153733 | + | 0.0853037i | ||||
\(55\) | −9.86581 | + | 4.66008i | −1.33031 | + | 0.628366i | ||||
\(56\) | −2.56238 | + | 0.381835i | −0.342413 | + | 0.0510249i | ||||
\(57\) | 3.45547 | + | 3.07601i | 0.457688 | + | 0.407428i | ||||
\(58\) | −0.248523 | + | 0.110650i | −0.0326327 | + | 0.0145290i | ||||
\(59\) | 12.8524 | + | 5.72224i | 1.67323 | + | 0.744972i | 0.999985 | + | 0.00555697i | \(0.00176885\pi\) |
0.673250 | + | 0.739415i | \(0.264898\pi\) | |||||||
\(60\) | 7.43627 | + | 8.16520i | 0.960018 | + | 1.05412i | ||||
\(61\) | 5.34548 | − | 4.81310i | 0.684419 | − | 0.616254i | −0.251755 | − | 0.967791i | \(-0.581008\pi\) |
0.936174 | + | 0.351537i | \(0.114341\pi\) | |||||||
\(62\) | −0.472998 | + | 0.343653i | −0.0600708 | + | 0.0436440i | ||||
\(63\) | −7.92545 | + | 0.432771i | −0.998512 | + | 0.0545241i | ||||
\(64\) | 2.02538 | + | 6.23348i | 0.253173 | + | 0.779185i | ||||
\(65\) | −11.2644 | − | 6.50351i | −1.39718 | − | 0.806661i | ||||
\(66\) | 1.42413 | + | 0.109367i | 0.175298 | + | 0.0134622i | ||||
\(67\) | 2.65955 | + | 4.60647i | 0.324915 | + | 0.562770i | 0.981495 | − | 0.191487i | \(-0.0613309\pi\) |
−0.656580 | + | 0.754256i | \(0.727998\pi\) | |||||||
\(68\) | −4.06432 | − | 0.863898i | −0.492871 | − | 0.104763i | ||||
\(69\) | 5.31957 | + | 0.528622i | 0.640401 | + | 0.0636386i | ||||
\(70\) | 2.08519 | + | 0.579232i | 0.249228 | + | 0.0692315i | ||||
\(71\) | −7.27819 | − | 2.36483i | −0.863762 | − | 0.280653i | −0.156563 | − | 0.987668i | \(-0.550042\pi\) |
−0.707199 | + | 0.707014i | \(0.750042\pi\) | |||||||
\(72\) | −0.643306 | − | 2.86625i | −0.0758144 | − | 0.337790i | ||||
\(73\) | 4.52441 | − | 10.1620i | 0.529542 | − | 1.18937i | −0.428708 | − | 0.903443i | \(-0.641031\pi\) |
0.958251 | − | 0.285929i | \(-0.0923021\pi\) | |||||||
\(74\) | −1.04536 | − | 0.109871i | −0.121520 | − | 0.0127723i | ||||
\(75\) | −3.17090 | − | 9.57390i | −0.366144 | − | 1.10550i | ||||
\(76\) | − | 5.17680i | − | 0.593820i | ||||||
\(77\) | −7.76508 | + | 4.08699i | −0.884913 | + | 0.465756i | ||||
\(78\) | 0.859700 | + | 1.46973i | 0.0973418 | + | 0.166414i | ||||
\(79\) | 11.1843 | + | 2.37730i | 1.25834 | + | 0.267468i | 0.788361 | − | 0.615212i | \(-0.210930\pi\) |
0.469975 | + | 0.882680i | \(0.344263\pi\) | |||||||
\(80\) | 1.24927 | − | 11.8860i | 0.139673 | − | 1.32890i | ||||
\(81\) | −1.14357 | − | 8.92705i | −0.127063 | − | 0.991895i | ||||
\(82\) | 1.60012 | − | 1.44076i | 0.176704 | − | 0.159105i | ||||
\(83\) | 2.46977 | − | 7.60116i | 0.271092 | − | 0.834335i | −0.719135 | − | 0.694870i | \(-0.755462\pi\) |
0.990227 | − | 0.139465i | \(-0.0445383\pi\) | |||||||
\(84\) | 6.25852 | + | 6.30224i | 0.682860 | + | 0.687631i | ||||
\(85\) | 5.70581 | + | 4.14551i | 0.618881 | + | 0.449644i | ||||
\(86\) | −0.461380 | + | 2.17062i | −0.0497519 | + | 0.234064i | ||||
\(87\) | 1.64654 | + | 0.938218i | 0.176527 | + | 0.100588i | ||||
\(88\) | −1.96726 | − | 2.58393i | −0.209710 | − | 0.275448i | ||||
\(89\) | 1.32783 | − | 2.29987i | 0.140750 | − | 0.243786i | −0.787029 | − | 0.616915i | \(-0.788382\pi\) |
0.927779 | + | 0.373130i | \(0.121715\pi\) | |||||||
\(90\) | −0.482937 | + | 2.40592i | −0.0509060 | + | 0.253607i | ||||
\(91\) | −9.27663 | − | 4.83413i | −0.972455 | − | 0.506754i | ||||
\(92\) | −3.51611 | − | 4.83951i | −0.366580 | − | 0.504554i | ||||
\(93\) | 3.88054 | + | 1.23658i | 0.402394 | + | 0.128227i | ||||
\(94\) | 0.231807 | + | 1.09057i | 0.0239091 | + | 0.112483i | ||||
\(95\) | −3.57397 | + | 8.02726i | −0.366681 | + | 0.823579i | ||||
\(96\) | −2.89058 | + | 4.02637i | −0.295018 | + | 0.410939i | ||||
\(97\) | −4.76502 | + | 1.54825i | −0.483814 | + | 0.157201i | −0.540761 | − | 0.841177i | \(-0.681864\pi\) |
0.0569466 | + | 0.998377i | \(0.481864\pi\) | |||||||
\(98\) | 1.69553 | + | 0.392965i | 0.171274 | + | 0.0396955i | ||||
\(99\) | −5.26284 | − | 8.44408i | −0.528935 | − | 0.848662i | ||||
\(100\) | −5.64279 | + | 9.77360i | −0.564279 | + | 0.977360i | ||||
\(101\) | 3.81392 | − | 4.23579i | 0.379499 | − | 0.421477i | −0.522889 | − | 0.852401i | \(-0.675146\pi\) |
0.902388 | + | 0.430924i | \(0.141812\pi\) | |||||||
\(102\) | −0.380297 | − | 0.841288i | −0.0376551 | − | 0.0832999i | ||||
\(103\) | −2.20045 | + | 0.231276i | −0.216816 | + | 0.0227883i | −0.212314 | − | 0.977202i | \(-0.568100\pi\) |
−0.00450262 | + | 0.999990i | \(0.501433\pi\) | |||||||
\(104\) | 1.19634 | − | 3.68196i | 0.117311 | − | 0.361046i | ||||
\(105\) | −5.35365 | − | 14.0931i | −0.522462 | − | 1.37535i | ||||
\(106\) | 2.58853 | − | 1.88068i | 0.251421 | − | 0.182668i | ||||
\(107\) | −0.150565 | − | 0.338174i | −0.0145556 | − | 0.0326925i | 0.906121 | − | 0.423018i | \(-0.139029\pi\) |
−0.920677 | + | 0.390325i | \(0.872363\pi\) | |||||||
\(108\) | −6.61054 | + | 7.59784i | −0.636100 | + | 0.731103i | ||||
\(109\) | −1.37233 | − | 2.37695i | −0.131446 | − | 0.227670i | 0.792788 | − | 0.609497i | \(-0.208629\pi\) |
−0.924234 | + | 0.381827i | \(0.875295\pi\) | |||||||
\(110\) | 0.623346 | + | 2.64032i | 0.0594337 | + | 0.251745i | ||||
\(111\) | 3.69701 | + | 6.32034i | 0.350904 | + | 0.599900i | ||||
\(112\) | 0.590868 | − | 9.59356i | 0.0558318 | − | 0.906506i | ||||
\(113\) | −5.05195 | + | 6.95341i | −0.475247 | + | 0.654122i | −0.977583 | − | 0.210551i | \(-0.932474\pi\) |
0.502336 | + | 0.864673i | \(0.332474\pi\) | |||||||
\(114\) | 0.926733 | − | 0.681375i | 0.0867965 | − | 0.0638166i | ||||
\(115\) | 2.11105 | + | 9.93170i | 0.196856 | + | 0.926136i | ||||
\(116\) | −0.440900 | − | 2.07427i | −0.0409366 | − | 0.192591i | ||||
\(117\) | 4.70117 | − | 10.8898i | 0.434623 | − | 1.00676i | ||||
\(118\) | 2.05608 | − | 2.82995i | 0.189278 | − | 0.260518i | ||||
\(119\) | 4.72850 | + | 3.13262i | 0.433461 | + | 0.287167i | ||||
\(120\) | 4.81608 | − | 2.81710i | 0.439646 | − | 0.257165i | ||||
\(121\) | −9.17985 | − | 6.06056i | −0.834532 | − | 0.550960i | ||||
\(122\) | −0.894237 | − | 1.54886i | −0.0809604 | − | 0.140227i | ||||
\(123\) | −14.6890 | − | 3.03527i | −1.32446 | − | 0.273681i | ||||
\(124\) | −1.85370 | − | 4.16348i | −0.166467 | − | 0.373892i | ||||
\(125\) | 2.18982 | − | 1.59100i | 0.195864 | − | 0.142303i | ||||
\(126\) | −0.304453 | + | 1.94988i | −0.0271228 | + | 0.173709i | ||||
\(127\) | 1.68136 | − | 5.17469i | 0.149196 | − | 0.459179i | −0.848330 | − | 0.529467i | \(-0.822392\pi\) |
0.997527 | + | 0.0702881i | \(0.0223919\pi\) | |||||||
\(128\) | 7.31266 | − | 0.768591i | 0.646354 | − | 0.0679345i | ||||
\(129\) | 14.0863 | − | 6.36760i | 1.24023 | − | 0.560636i | ||||
\(130\) | −2.16400 | + | 2.40337i | −0.189795 | + | 0.210789i | ||||
\(131\) | −7.46017 | + | 12.9214i | −0.651798 | + | 1.12895i | 0.330888 | + | 0.943670i | \(0.392652\pi\) |
−0.982686 | + | 0.185278i | \(0.940681\pi\) | |||||||
\(132\) | −3.14199 | + | 10.6815i | −0.273476 | + | 0.929702i | ||||
\(133\) | −2.59275 | + | 6.57388i | −0.224820 | + | 0.570028i | ||||
\(134\) | 1.25780 | − | 0.408685i | 0.108658 | − | 0.0353050i | ||||
\(135\) | 15.4959 | − | 7.21758i | 1.33367 | − | 0.621191i | ||||
\(136\) | −0.853822 | + | 1.91772i | −0.0732147 | + | 0.164443i | ||||
\(137\) | 1.87316 | + | 8.81251i | 0.160035 | + | 0.752904i | 0.982822 | + | 0.184555i | \(0.0590843\pi\) |
−0.822788 | + | 0.568349i | \(0.807582\pi\) | |||||||
\(138\) | 0.403559 | − | 1.26642i | 0.0343532 | − | 0.107805i | ||||
\(139\) | 10.2018 | + | 14.0416i | 0.865307 | + | 1.19099i | 0.980278 | + | 0.197624i | \(0.0633224\pi\) |
−0.114971 | + | 0.993369i | \(0.536678\pi\) | |||||||
\(140\) | −7.79602 | + | 14.9605i | −0.658884 | + | 1.26439i | ||||
\(141\) | 5.16416 | − | 5.80121i | 0.434901 | − | 0.488550i | ||||
\(142\) | −0.951384 | + | 1.64785i | −0.0798384 | + | 0.138284i | ||||
\(143\) | −0.293741 | − | 13.1098i | −0.0245638 | − | 1.09630i | ||||
\(144\) | 10.8980 | − | 0.123630i | 0.908165 | − | 0.0103025i | ||||
\(145\) | −0.748369 | + | 3.52080i | −0.0621487 | + | 0.292387i | ||||
\(146\) | −2.23756 | − | 1.62569i | −0.185182 | − | 0.134543i | ||||
\(147\) | −4.79110 | − | 11.1376i | −0.395164 | − | 0.918611i | ||||
\(148\) | 2.53196 | − | 7.79257i | 0.208126 | − | 0.640545i | ||||
\(149\) | 12.7368 | − | 11.4683i | 1.04344 | − | 0.939518i | 0.0452102 | − | 0.998977i | \(-0.485604\pi\) |
0.998231 | + | 0.0594591i | \(0.0189376\pi\) | |||||||
\(150\) | −2.49234 | + | 0.276257i | −0.203499 | + | 0.0225563i | ||||
\(151\) | 2.03053 | − | 19.3192i | 0.165242 | − | 1.57218i | −0.526591 | − | 0.850119i | \(-0.676530\pi\) |
0.691833 | − | 0.722058i | \(-0.256803\pi\) | |||||||
\(152\) | −2.55821 | − | 0.543765i | −0.207498 | − | 0.0441051i | ||||
\(153\) | −3.15235 | + | 5.60595i | −0.254853 | + | 0.453214i | ||||
\(154\) | 0.592564 | + | 2.09979i | 0.0477501 | + | 0.169206i | ||||
\(155\) | 7.73575i | 0.621350i | ||||||||
\(156\) | −12.5997 | + | 4.17305i | −1.00879 | + | 0.334112i | ||||
\(157\) | 2.17317 | + | 0.228409i | 0.173437 | + | 0.0182290i | 0.190849 | − | 0.981619i | \(-0.438876\pi\) |
−0.0174116 | + | 0.999848i | \(0.505543\pi\) | |||||||
\(158\) | 1.15635 | − | 2.59720i | 0.0919940 | − | 0.206622i | ||||
\(159\) | −21.2367 | − | 6.76729i | −1.68418 | − | 0.536681i | ||||
\(160\) | −8.95348 | − | 2.90916i | −0.707834 | − | 0.229989i | ||||
\(161\) | 2.04119 | + | 7.90658i | 0.160868 | + | 0.623125i | ||||
\(162\) | −2.23022 | − | 0.183362i | −0.175223 | − | 0.0144063i | ||||
\(163\) | 17.6517 | + | 3.75198i | 1.38258 | + | 0.293877i | 0.838385 | − | 0.545078i | \(-0.183500\pi\) |
0.544200 | + | 0.838956i | \(0.316833\pi\) | |||||||
\(164\) | 8.39219 | + | 14.5357i | 0.655320 | + | 1.13505i | ||||
\(165\) | 12.2463 | − | 14.3937i | 0.953375 | − | 1.12055i | ||||
\(166\) | −1.72097 | − | 0.993602i | −0.133573 | − | 0.0771184i | ||||
\(167\) | 1.14146 | + | 3.51307i | 0.0883292 | + | 0.271849i | 0.985458 | − | 0.169920i | \(-0.0543510\pi\) |
−0.897129 | + | 0.441769i | \(0.854351\pi\) | |||||||
\(168\) | 3.77175 | − | 2.43078i | 0.290997 | − | 0.187539i | ||||
\(169\) | 2.12940 | − | 1.54710i | 0.163800 | − | 0.119008i | ||||
\(170\) | 1.30317 | − | 1.17338i | 0.0999487 | − | 0.0899942i | ||||
\(171\) | −7.64831 | − | 2.38951i | −0.584881 | − | 0.182731i | ||||
\(172\) | −15.8028 | − | 7.03588i | −1.20496 | − | 0.536481i | ||||
\(173\) | 22.5604 | − | 10.0445i | 1.71524 | − | 0.763672i | 0.717490 | − | 0.696569i | \(-0.245291\pi\) |
0.997746 | − | 0.0671032i | \(-0.0213757\pi\) | |||||||
\(174\) | 0.313297 | − | 0.351946i | 0.0237510 | − | 0.0266810i | ||||
\(175\) | 12.0606 | − | 9.58509i | 0.911699 | − | 0.724565i | ||||
\(176\) | 10.8947 | − | 5.14609i | 0.821220 | − | 0.387901i | ||||
\(177\) | −24.3672 | + | 0.138210i | −1.83155 | + | 0.0103885i | ||||
\(178\) | −0.490699 | − | 0.441827i | −0.0367794 | − | 0.0331164i | ||||
\(179\) | −5.18715 | − | 0.545192i | −0.387706 | − | 0.0407495i | −0.0913295 | − | 0.995821i | \(-0.529112\pi\) |
−0.296377 | + | 0.955071i | \(0.595778\pi\) | |||||||
\(180\) | −17.5620 | − | 7.58160i | −1.30900 | − | 0.565099i | ||||
\(181\) | 13.6726 | + | 4.44250i | 1.01628 | + | 0.330209i | 0.769352 | − | 0.638826i | \(-0.220579\pi\) |
0.246926 | + | 0.969034i | \(0.420579\pi\) | |||||||
\(182\) | −1.65524 | + | 2.00623i | −0.122695 | + | 0.148711i | ||||
\(183\) | −5.00279 | + | 11.4102i | −0.369817 | + | 0.843465i | ||||
\(184\) | −2.76086 | + | 1.22921i | −0.203533 | + | 0.0906189i | ||||
\(185\) | −9.30595 | + | 10.3353i | −0.684187 | + | 0.759867i | ||||
\(186\) | 0.501346 | − | 0.879844i | 0.0367605 | − | 0.0645133i | ||||
\(187\) | −0.584638 | + | 7.08620i | −0.0427529 | + | 0.518194i | ||||
\(188\) | −8.69107 | −0.633861 | ||||||||
\(189\) | 12.1999 | − | 6.33746i | 0.887409 | − | 0.460983i | ||||
\(190\) | 1.76752 | + | 1.28418i | 0.128229 | + | 0.0931639i | ||||
\(191\) | −15.9561 | + | 1.67705i | −1.15454 | + | 0.121347i | −0.662388 | − | 0.749161i | \(-0.730457\pi\) |
−0.492153 | + | 0.870508i | \(0.663790\pi\) | |||||||
\(192\) | −7.64392 | − | 8.39321i | −0.551653 | − | 0.605728i | ||||
\(193\) | −2.09871 | + | 0.446095i | −0.151069 | + | 0.0321106i | −0.282825 | − | 0.959171i | \(-0.591272\pi\) |
0.131757 | + | 0.991282i | \(0.457938\pi\) | |||||||
\(194\) | 0.130215 | + | 1.23891i | 0.00934890 | + | 0.0889489i | ||||
\(195\) | 22.4184 | + | 2.22778i | 1.60541 | + | 0.159535i | ||||
\(196\) | −5.74424 | + | 12.2912i | −0.410303 | + | 0.877944i | ||||
\(197\) | − | 5.11325i | − | 0.364304i | −0.983270 | − | 0.182152i | \(-0.941694\pi\) | ||
0.983270 | − | 0.182152i | \(-0.0583063\pi\) | |||||||
\(198\) | −2.32571 | + | 0.843434i | −0.165281 | + | 0.0599402i | ||||
\(199\) | −3.56079 | + | 2.05582i | −0.252418 | + | 0.145733i | −0.620871 | − | 0.783913i | \(-0.713221\pi\) |
0.368453 | + | 0.929646i | \(0.379887\pi\) | |||||||
\(200\) | 4.23709 | + | 3.81509i | 0.299608 | + | 0.269768i | ||||
\(201\) | −7.48402 | − | 5.37287i | −0.527882 | − | 0.378973i | ||||
\(202\) | −0.833007 | − | 1.14654i | −0.0586101 | − | 0.0806699i | ||||
\(203\) | −0.478994 | + | 2.85488i | −0.0336188 | + | 0.200374i | ||||
\(204\) | 7.03101 | − | 1.53622i | 0.492269 | − | 0.107557i | ||||
\(205\) | −2.97793 | − | 28.3332i | −0.207988 | − | 1.97887i | ||||
\(206\) | −0.0575042 | + | 0.547116i | −0.00400651 | + | 0.0381194i | ||||
\(207\) | −8.77296 | + | 2.96094i | −0.609763 | + | 0.205800i | ||||
\(208\) | 12.4392 | + | 7.18177i | 0.862502 | + | 0.497966i | ||||
\(209\) | −8.78710 | + | 1.12309i | −0.607816 | + | 0.0776859i | ||||
\(210\) | −3.70429 | + | 0.573492i | −0.255620 | + | 0.0395747i | ||||
\(211\) | 4.64802 | + | 14.3051i | 0.319983 | + | 0.984807i | 0.973654 | + | 0.228028i | \(0.0732279\pi\) |
−0.653671 | + | 0.756779i | \(0.726772\pi\) | |||||||
\(212\) | 10.1446 | + | 22.7851i | 0.696733 | + | 1.56489i | ||||
\(213\) | 13.1743 | − | 1.46026i | 0.902685 | − | 0.100056i | ||||
\(214\) | −0.0900292 | + | 0.0191363i | −0.00615427 | + | 0.00130813i | ||||
\(215\) | 19.6468 | + | 21.8200i | 1.33990 | + | 1.48811i | ||||
\(216\) | 3.06025 | + | 4.06479i | 0.208224 | + | 0.276574i | ||||
\(217\) | 0.268723 | + | 6.21550i | 0.0182421 | + | 0.421936i | ||||
\(218\) | −0.649029 | + | 0.210882i | −0.0439578 | + | 0.0142828i | ||||
\(219\) | 0.109279 | + | 19.2665i | 0.00738437 | + | 1.30191i | ||||
\(220\) | −21.1422 | + | 0.473717i | −1.42541 | + | 0.0319380i | ||||
\(221\) | −7.34056 | + | 4.23807i | −0.493779 | + | 0.285084i | ||||
\(222\) | 1.72826 | − | 0.572402i | 0.115993 | − | 0.0384171i | ||||
\(223\) | −14.9590 | + | 20.5893i | −1.00173 | + | 1.37876i | −0.0774668 | + | 0.996995i | \(0.524683\pi\) |
−0.924260 | + | 0.381764i | \(0.875317\pi\) | |||||||
\(224\) | −7.29498 | − | 2.02642i | −0.487416 | − | 0.135396i | ||||
\(225\) | 11.8351 | + | 12.8481i | 0.789007 | + | 0.856538i | ||||
\(226\) | 1.42995 | + | 1.58812i | 0.0951187 | + | 0.105640i | ||||
\(227\) | −9.32523 | − | 4.15186i | −0.618937 | − | 0.275569i | 0.0732195 | − | 0.997316i | \(-0.476673\pi\) |
−0.692157 | + | 0.721747i | \(0.743339\pi\) | |||||||
\(228\) | 3.69340 | + | 8.17047i | 0.244601 | + | 0.541103i | ||||
\(229\) | −0.193867 | + | 0.912075i | −0.0128111 | + | 0.0602716i | −0.984089 | − | 0.177677i | \(-0.943142\pi\) |
0.971278 | + | 0.237949i | \(0.0764750\pi\) | |||||||
\(230\) | 2.52457 | 0.166466 | ||||||||
\(231\) | 9.33965 | − | 11.9905i | 0.614504 | − | 0.788914i | ||||
\(232\) | −1.07135 | −0.0703377 | ||||||||
\(233\) | 1.66568 | − | 7.83642i | 0.109122 | − | 0.513381i | −0.889305 | − | 0.457315i | \(-0.848811\pi\) |
0.998427 | − | 0.0560656i | \(-0.0178556\pi\) | |||||||
\(234\) | −2.40543 | − | 1.70630i | −0.157248 | − | 0.111544i | ||||
\(235\) | 13.4766 | + | 6.00015i | 0.879114 | + | 0.391407i | ||||
\(236\) | 18.2456 | + | 20.2638i | 1.18769 | + | 1.31906i | ||||
\(237\) | −19.3482 | + | 4.22742i | −1.25680 | + | 0.274600i | ||||
\(238\) | 1.00631 | − | 0.988055i | 0.0652294 | − | 0.0640461i | ||||
\(239\) | −11.3660 | + | 15.6439i | −0.735202 | + | 1.01192i | 0.263678 | + | 0.964611i | \(0.415064\pi\) |
−0.998880 | + | 0.0473083i | \(0.984936\pi\) | |||||||
\(240\) | 6.50840 | + | 19.6508i | 0.420115 | + | 1.26846i | ||||
\(241\) | −6.83704 | + | 3.94737i | −0.440412 | + | 0.254272i | −0.703773 | − | 0.710425i | \(-0.748503\pi\) |
0.263360 | + | 0.964698i | \(0.415169\pi\) | |||||||
\(242\) | −1.94851 | + | 1.91929i | −0.125255 | + | 0.123377i | ||||
\(243\) | 8.17390 | + | 13.2736i | 0.524356 | + | 0.851499i | ||||
\(244\) | 13.2591 | − | 4.30814i | 0.848826 | − | 0.275800i | ||||
\(245\) | 17.3928 | − | 15.0933i | 1.11118 | − | 0.964276i | ||||
\(246\) | −1.49754 | + | 3.41554i | −0.0954798 | + | 0.217767i | ||||
\(247\) | −7.06622 | − | 7.84783i | −0.449613 | − | 0.499346i | ||||
\(248\) | −2.25217 | + | 0.478714i | −0.143013 | + | 0.0303984i | ||||
\(249\) | 1.52506 | + | 13.7589i | 0.0966470 | + | 0.871932i | ||||
\(250\) | −0.273737 | − | 0.614824i | −0.0173127 | − | 0.0388849i | ||||
\(251\) | −7.54534 | − | 23.2222i | −0.476258 | − | 1.46577i | −0.844254 | − | 0.535943i | \(-0.819956\pi\) |
0.367996 | − | 0.929827i | \(-0.380044\pi\) | |||||||
\(252\) | −14.3741 | − | 5.48158i | −0.905482 | − | 0.345307i | ||||
\(253\) | −7.45177 | + | 7.01816i | −0.468489 | + | 0.441228i | ||||
\(254\) | −1.17159 | − | 0.676420i | −0.0735123 | − | 0.0424424i | ||||
\(255\) | −11.9630 | − | 2.47198i | −0.749153 | − | 0.154802i | ||||
\(256\) | −1.17911 | + | 11.2185i | −0.0736947 | + | 0.701158i | ||||
\(257\) | 0.353859 | + | 3.36674i | 0.0220731 | + | 0.210012i | 0.999999 | + | 0.00106166i | \(0.000337937\pi\) |
−0.977926 | + | 0.208950i | \(0.932995\pi\) | |||||||
\(258\) | −0.820445 | − | 3.75504i | −0.0510787 | − | 0.233778i | ||||
\(259\) | −7.11811 | + | 8.62747i | −0.442298 | + | 0.536085i | ||||
\(260\) | −14.8180 | − | 20.3953i | −0.918975 | − | 1.26486i | ||||
\(261\) | −3.26808 | − | 0.306050i | −0.202289 | − | 0.0189440i | ||||
\(262\) | 2.75690 | + | 2.48233i | 0.170322 | + | 0.153359i | ||||
\(263\) | 24.1616 | − | 13.9497i | 1.48987 | − | 0.860177i | 0.489937 | − | 0.871758i | \(-0.337020\pi\) |
0.999933 | + | 0.0115808i | \(0.00368638\pi\) | |||||||
\(264\) | 4.94841 | + | 2.67464i | 0.304553 | + | 0.164613i | ||||
\(265\) | − | 42.3347i | − | 2.60060i | ||||||
\(266\) | 1.46477 | + | 0.970408i | 0.0898109 | + | 0.0594995i | ||||
\(267\) | −0.454850 | + | 4.57720i | −0.0278364 | + | 0.280120i | ||||
\(268\) | 1.07762 | + | 10.2529i | 0.0658262 | + | 0.626294i | ||||
\(269\) | −5.43425 | + | 1.15509i | −0.331332 | + | 0.0704268i | −0.370574 | − | 0.928803i | \(-0.620839\pi\) |
0.0392420 | + | 0.999230i | \(0.487506\pi\) | |||||||
\(270\) | −0.954298 | − | 4.14179i | −0.0580767 | − | 0.252061i | ||||
\(271\) | −15.2132 | + | 1.59897i | −0.924134 | + | 0.0971304i | −0.554628 | − | 0.832098i | \(-0.687140\pi\) |
−0.369505 | + | 0.929229i | \(0.620473\pi\) | |||||||
\(272\) | −6.30087 | − | 4.57785i | −0.382046 | − | 0.277573i | ||||
\(273\) | 18.0901 | + | 1.01121i | 1.09486 | + | 0.0612013i | ||||
\(274\) | 2.24008 | 0.135328 | ||||||||
\(275\) | 17.8139 | + | 7.45771i | 1.07422 | + | 0.449717i | ||||
\(276\) | 9.00219 | + | 5.12956i | 0.541868 | + | 0.308763i | ||||
\(277\) | 6.19807 | − | 6.88366i | 0.372406 | − | 0.413599i | −0.527588 | − | 0.849500i | \(-0.676904\pi\) |
0.899994 | + | 0.435901i | \(0.143570\pi\) | |||||||
\(278\) | 3.94237 | − | 1.75526i | 0.236448 | − | 0.105273i | ||||
\(279\) | −7.00684 | + | 0.816910i | −0.419489 | + | 0.0489072i | ||||
\(280\) | 6.57410 | + | 5.42397i | 0.392878 | + | 0.324144i | ||||
\(281\) | −22.3445 | − | 7.26018i | −1.33296 | − | 0.433106i | −0.446036 | − | 0.895015i | \(-0.647165\pi\) |
−0.886927 | + | 0.461909i | \(0.847165\pi\) | |||||||
\(282\) | −1.14393 | − | 1.55584i | −0.0681198 | − | 0.0926492i | ||||
\(283\) | −10.2459 | − | 1.07689i | −0.609056 | − | 0.0640144i | −0.205021 | − | 0.978758i | \(-0.565726\pi\) |
−0.404035 | + | 0.914743i | \(0.632393\pi\) | |||||||
\(284\) | −11.0226 | − | 9.92480i | −0.654072 | − | 0.588929i | ||||
\(285\) | −0.0863224 | − | 15.2192i | −0.00511330 | − | 0.901505i | ||||
\(286\) | −3.20356 | − | 0.606270i | −0.189430 | − | 0.0358495i | ||||
\(287\) | −3.37694 | − | 22.6616i | −0.199334 | − | 1.33767i | ||||
\(288\) | 1.68954 | − | 8.41704i | 0.0995570 | − | 0.495979i | ||||
\(289\) | −11.3316 | + | 5.04516i | −0.666566 | + | 0.296774i | ||||
\(290\) | 0.817591 | + | 0.364015i | 0.0480106 | + | 0.0213757i | ||||
\(291\) | 6.41596 | − | 5.84319i | 0.376110 | − | 0.342534i | ||||
\(292\) | 16.0220 | − | 14.4263i | 0.937616 | − | 0.844233i | ||||
\(293\) | 10.7055 | − | 7.77798i | 0.625421 | − | 0.454395i | −0.229390 | − | 0.973335i | \(-0.573673\pi\) |
0.854811 | + | 0.518940i | \(0.173673\pi\) | |||||||
\(294\) | −2.95639 | + | 0.589467i | −0.172420 | + | 0.0343784i | ||||
\(295\) | −14.3022 | − | 44.0178i | −0.832709 | − | 2.56282i | ||||
\(296\) | −3.58489 | − | 2.06974i | −0.208367 | − | 0.120301i | ||||
\(297\) | 14.3307 | + | 9.57240i | 0.831552 | + | 0.555447i | ||||
\(298\) | −2.13072 | − | 3.69052i | −0.123429 | − | 0.213786i | ||||
\(299\) | −11.9361 | − | 2.53710i | −0.690283 | − | 0.146724i | ||||
\(300\) | 1.93294 | − | 19.4514i | 0.111599 | − | 1.12303i | ||||
\(301\) | 16.5437 | + | 16.8494i | 0.953565 | + | 0.971182i | ||||
\(302\) | −4.59357 | − | 1.49254i | −0.264330 | − | 0.0858862i | ||||
\(303\) | −2.99743 | + | 9.40634i | −0.172198 | + | 0.540380i | ||||
\(304\) | 3.94670 | − | 8.86443i | 0.226359 | − | 0.508410i | ||||
\(305\) | −23.5341 | − | 2.47353i | −1.34756 | − | 0.141634i | ||||
\(306\) | 1.20044 | + | 1.05647i | 0.0686244 | + | 0.0603943i | ||||
\(307\) | − | 19.1660i | − | 1.09386i | −0.837178 | − | 0.546930i | \(-0.815796\pi\) | ||
0.837178 | − | 0.546930i | \(-0.184204\pi\) | |||||||
\(308\) | −16.9709 | + | 1.11505i | −0.967004 | + | 0.0635362i | ||||
\(309\) | 3.30793 | − | 1.93493i | 0.188182 | − | 0.110074i | ||||
\(310\) | 1.88138 | + | 0.399899i | 0.106855 | + | 0.0227127i | ||||
\(311\) | −0.188000 | + | 1.78870i | −0.0106605 | + | 0.101428i | −0.998558 | − | 0.0536786i | \(-0.982905\pi\) |
0.987898 | + | 0.155106i | \(0.0495720\pi\) | |||||||
\(312\) | 0.738732 | + | 6.66472i | 0.0418225 | + | 0.377315i | ||||
\(313\) | −2.55832 | + | 2.30352i | −0.144605 | + | 0.130203i | −0.738259 | − | 0.674518i | \(-0.764352\pi\) |
0.593654 | + | 0.804721i | \(0.297685\pi\) | |||||||
\(314\) | 0.167892 | − | 0.516718i | 0.00947469 | − | 0.0291601i | ||||
\(315\) | 18.5044 | + | 18.4234i | 1.04260 | + | 1.03804i | ||||
\(316\) | 17.9290 | + | 13.0262i | 1.00859 | + | 0.732782i | ||||
\(317\) | −0.453022 | + | 2.13130i | −0.0254442 | + | 0.119706i | −0.989037 | − | 0.147669i | \(-0.952823\pi\) |
0.963593 | + | 0.267375i | \(0.0861562\pi\) | |||||||
\(318\) | −2.74367 | + | 4.81504i | −0.153857 | + | 0.270014i | ||||
\(319\) | −3.42522 | + | 1.19839i | −0.191775 | + | 0.0670970i | ||||
\(320\) | 10.7811 | − | 18.6734i | 0.602683 | − | 1.04388i | ||||
\(321\) | 0.478905 | + | 0.426314i | 0.0267299 | + | 0.0237946i | ||||
\(322\) | 2.02844 | − | 0.0876981i | 0.113041 | − | 0.00488723i | ||||
\(323\) | 3.36571 | + | 4.63250i | 0.187273 | + | 0.257759i | ||||
\(324\) | 5.01263 | − | 16.7079i | 0.278480 | − | 0.928215i | ||||
\(325\) | 4.78649 | + | 22.5187i | 0.265507 | + | 1.24911i | ||||
\(326\) | 1.82500 | − | 4.09902i | 0.101078 | − | 0.227024i | ||||
\(327\) | 3.86177 | + | 2.77241i | 0.213556 | + | 0.153315i | ||||
\(328\) | 8.06458 | − | 2.62034i | 0.445292 | − | 0.144684i | ||||
\(329\) | 11.0366 | + | 4.35284i | 0.608465 | + | 0.239980i | ||||
\(330\) | −2.86756 | − | 3.72245i | −0.157854 | − | 0.204914i | ||||
\(331\) | 0.773139 | − | 1.33912i | 0.0424956 | − | 0.0736045i | −0.843995 | − | 0.536351i | \(-0.819802\pi\) |
0.886491 | + | 0.462746i | \(0.153136\pi\) | |||||||
\(332\) | 10.3652 | − | 11.5117i | 0.568865 | − | 0.631788i | ||||
\(333\) | −10.3442 | − | 7.33767i | −0.566858 | − | 0.402102i | ||||
\(334\) | 0.913405 | − | 0.0960027i | 0.0499793 | − | 0.00525303i | ||||
\(335\) | 5.40741 | − | 16.6423i | 0.295438 | − | 0.909266i | ||||
\(336\) | 5.91198 | + | 15.5629i | 0.322525 | + | 0.849028i | ||||
\(337\) | −19.1289 | + | 13.8980i | −1.04202 | + | 0.757071i | −0.970678 | − | 0.240382i | \(-0.922727\pi\) |
−0.0713397 | + | 0.997452i | \(0.522727\pi\) | |||||||
\(338\) | −0.266184 | − | 0.597859i | −0.0144785 | − | 0.0325192i | ||||
\(339\) | 3.01250 | − | 14.5788i | 0.163616 | − | 0.791811i | ||||
\(340\) | 6.83476 | + | 11.8381i | 0.370667 | + | 0.642014i | ||||
\(341\) | −6.66494 | + | 4.04973i | −0.360927 | + | 0.219305i | ||||
\(342\) | −0.976521 | + | 1.73658i | −0.0528042 | + | 0.0939037i | ||||
\(343\) | 13.4504 | − | 12.7313i | 0.726253 | − | 0.687427i | ||||
\(344\) | −5.13682 | + | 7.07022i | −0.276959 | + | 0.381201i | ||||
\(345\) | −10.4176 | − | 14.1689i | −0.560866 | − | 0.762830i | ||||
\(346\) | −1.27663 | − | 6.00606i | −0.0686320 | − | 0.322888i | ||||
\(347\) | 2.65999 | + | 12.5143i | 0.142796 | + | 0.671802i | 0.990062 | + | 0.140633i | \(0.0449137\pi\) |
−0.847266 | + | 0.531169i | \(0.821753\pi\) | |||||||
\(348\) | 2.17576 | + | 2.95923i | 0.116633 | + | 0.158632i | ||||
\(349\) | −12.9935 | + | 17.8840i | −0.695524 | + | 0.957307i | 0.304464 | + | 0.952524i | \(0.401523\pi\) |
−0.999989 | + | 0.00478345i | \(0.998477\pi\) | |||||||
\(350\) | −1.70767 | − | 3.42872i | −0.0912789 | − | 0.183273i | ||||
\(351\) | 0.349557 | + | 20.5413i | 0.0186580 | + | 1.09641i | ||||
\(352\) | −2.18075 | − | 9.23707i | −0.116235 | − | 0.492338i | ||||
\(353\) | 16.3390 | + | 28.3000i | 0.869639 | + | 1.50626i | 0.862366 | + | 0.506285i | \(0.168982\pi\) |
0.00727273 | + | 0.999974i | \(0.497685\pi\) | |||||||
\(354\) | −1.22605 | + | 5.93339i | −0.0651638 | + | 0.315356i | ||||
\(355\) | 10.2400 | + | 22.9994i | 0.543483 | + | 1.22068i | ||||
\(356\) | 4.16413 | − | 3.02542i | 0.220698 | − | 0.160347i | ||||
\(357\) | −9.69789 | − | 1.57062i | −0.513267 | − | 0.0831258i | ||||
\(358\) | −0.400743 | + | 1.23336i | −0.0211799 | + | 0.0651851i | ||||
\(359\) | 18.5037 | − | 1.94482i | 0.976589 | − | 0.102644i | 0.397232 | − | 0.917718i | \(-0.369971\pi\) |
0.579356 | + | 0.815074i | \(0.303304\pi\) | |||||||
\(360\) | −5.59128 | + | 7.88224i | −0.294686 | + | 0.415430i | ||||
\(361\) | 7.93988 | − | 8.81813i | 0.417888 | − | 0.464112i | ||||
\(362\) | 1.78725 | − | 3.09560i | 0.0939356 | − | 0.162701i | ||||
\(363\) | 18.8123 | + | 3.01591i | 0.987392 | + | 0.158294i | ||||
\(364\) | −12.6144 | − | 15.8724i | −0.661177 | − | 0.831940i | ||||
\(365\) | −34.8036 | + | 11.3084i | −1.82171 | + | 0.591908i | ||||
\(366\) | 2.51640 | + | 1.80655i | 0.131534 | + | 0.0944301i | ||||
\(367\) | 5.36742 | − | 12.0554i | 0.280177 | − | 0.629288i | −0.717562 | − | 0.696495i | \(-0.754742\pi\) |
0.997739 | + | 0.0672066i | \(0.0214086\pi\) | |||||||
\(368\) | −2.33121 | − | 10.9675i | −0.121523 | − | 0.571720i | ||||
\(369\) | 25.3490 | − | 5.68938i | 1.31962 | − | 0.296177i | ||||
\(370\) | 2.03253 | + | 2.79754i | 0.105666 | + | 0.145437i | ||||
\(371\) | −1.47061 | − | 34.0150i | −0.0763505 | − | 1.76597i | ||||
\(372\) | 5.89612 | + | 5.24864i | 0.305699 | + | 0.272129i | ||||
\(373\) | −4.57581 | + | 7.92554i | −0.236927 | + | 0.410369i | −0.959831 | − | 0.280579i | \(-0.909473\pi\) |
0.722904 | + | 0.690948i | \(0.242807\pi\) | |||||||
\(374\) | 1.69318 | + | 0.508507i | 0.0875522 | + | 0.0262943i | ||||
\(375\) | −2.32107 | + | 4.07339i | −0.119859 | + | 0.210349i | ||||
\(376\) | −0.912899 | + | 4.29485i | −0.0470792 | + | 0.221490i | ||||
\(377\) | −3.49972 | − | 2.54270i | −0.180245 | − | 0.130956i | ||||
\(378\) | −0.910634 | − | 3.29469i | −0.0468380 | − | 0.169460i | ||||
\(379\) | 6.71797 | − | 20.6758i | 0.345079 | − | 1.06204i | −0.616463 | − | 0.787384i | \(-0.711435\pi\) |
0.961542 | − | 0.274659i | \(-0.0885651\pi\) | |||||||
\(380\) | −12.6562 | + | 11.3957i | −0.649251 | + | 0.584588i | ||||
\(381\) | 1.03823 | + | 9.36670i | 0.0531899 | + | 0.479871i | ||||
\(382\) | −0.416980 | + | 3.96730i | −0.0213345 | + | 0.202985i | ||||
\(383\) | 14.6521 | + | 3.11441i | 0.748689 | + | 0.159139i | 0.566428 | − | 0.824111i | \(-0.308325\pi\) |
0.182261 | + | 0.983250i | \(0.441658\pi\) | |||||||
\(384\) | −10.9931 | + | 6.43029i | −0.560990 | + | 0.328144i | ||||
\(385\) | 27.0852 | + | 9.98733i | 1.38039 | + | 0.509001i | ||||
\(386\) | 0.533479i | 0.0271534i | ||||||||
\(387\) | −17.6892 | + | 20.0998i | −0.899194 | + | 1.02173i | ||||
\(388\) | −9.65753 | − | 1.01505i | −0.490287 | − | 0.0515312i | ||||
\(389\) | 6.92357 | − | 15.5506i | 0.351039 | − | 0.788446i | −0.648588 | − | 0.761139i | \(-0.724640\pi\) |
0.999627 | − | 0.0273065i | \(-0.00869301\pi\) | |||||||
\(390\) | 1.70073 | − | 5.33711i | 0.0861196 | − | 0.270255i | ||||
\(391\) | 6.29283 | + | 2.04467i | 0.318242 | + | 0.103403i | ||||
\(392\) | 5.47056 | + | 4.12967i | 0.276305 | + | 0.208580i | ||||
\(393\) | 2.55549 | − | 25.7161i | 0.128907 | − | 1.29721i | ||||
\(394\) | −1.24357 | − | 0.264329i | −0.0626501 | − | 0.0133167i | ||||
\(395\) | −18.8081 | − | 32.5766i | −0.946339 | − | 1.63911i | ||||
\(396\) | −2.66174 | − | 19.1001i | −0.133758 | − | 0.959814i | ||||
\(397\) | −3.28111 | − | 1.89435i | −0.164674 | − | 0.0950747i | 0.415398 | − | 0.909640i | \(-0.363642\pi\) |
−0.580072 | + | 0.814565i | \(0.696976\pi\) | |||||||
\(398\) | 0.315912 | + | 0.972279i | 0.0158353 | + | 0.0487359i | ||||
\(399\) | −0.598038 | − | 12.2253i | −0.0299394 | − | 0.612029i | ||||
\(400\) | −17.1136 | + | 12.4337i | −0.855678 | + | 0.621687i | ||||
\(401\) | −25.9554 | + | 23.3703i | −1.29615 | + | 1.16706i | −0.320617 | + | 0.947209i | \(0.603890\pi\) |
−0.975534 | + | 0.219850i | \(0.929443\pi\) | |||||||
\(402\) | −1.69360 | + | 1.54240i | −0.0844689 | + | 0.0769281i | ||||
\(403\) | −8.49320 | − | 3.78142i | −0.423077 | − | 0.188366i | ||||
\(404\) | 10.0922 | − | 4.49333i | 0.502105 | − | 0.223551i | ||||
\(405\) | −19.3075 | + | 22.4470i | −0.959397 | + | 1.11540i | ||||
\(406\) | 0.669562 | + | 0.264077i | 0.0332298 | + | 0.0131059i | ||||
\(407\) | −13.7764 | − | 2.60717i | −0.682871 | − | 0.129233i | ||||
\(408\) | −0.0206225 | − | 3.63587i | −0.00102096 | − | 0.180002i | ||||
\(409\) | 1.46541 | + | 1.31946i | 0.0724600 | + | 0.0652433i | 0.704565 | − | 0.709640i | \(-0.251142\pi\) |
−0.632105 | + | 0.774883i | \(0.717809\pi\) | |||||||
\(410\) | −7.04472 | − | 0.740430i | −0.347914 | − | 0.0365672i | ||||
\(411\) | −9.24368 | − | 12.5723i | −0.455957 | − | 0.620144i | ||||
\(412\) | −4.07846 | − | 1.32517i | −0.200931 | − | 0.0652866i | ||||
\(413\) | −13.0206 | − | 34.8705i | −0.640703 | − | 1.71587i | ||||
\(414\) | 0.266600 | + | 2.28670i | 0.0131027 | + | 0.112385i | ||||
\(415\) | −24.0200 | + | 10.6944i | −1.17910 | + | 0.524967i | ||||
\(416\) | 7.57069 | − | 8.40810i | 0.371183 | − | 0.412241i | ||||
\(417\) | −26.1194 | − | 14.8831i | −1.27907 | − | 0.728831i | ||||
\(418\) | −0.181106 | + | 2.19513i | −0.00885820 | + | 0.107367i | ||||
\(419\) | 32.8236 | 1.60354 | 0.801769 | − | 0.597634i | \(-0.203892\pi\) | ||||
0.801769 | + | 0.597634i | \(0.203892\pi\) | |||||||
\(420\) | 1.63078 | − | 29.1740i | 0.0795741 | − | 1.42354i | ||||
\(421\) | 5.78485 | + | 4.20294i | 0.281936 | + | 0.204839i | 0.719762 | − | 0.694221i | \(-0.244251\pi\) |
−0.437825 | + | 0.899060i | \(0.644251\pi\) | |||||||
\(422\) | 3.71937 | − | 0.390921i | 0.181056 | − | 0.0190298i | ||||
\(423\) | −4.01163 | + | 12.8404i | −0.195052 | + | 0.624319i | ||||
\(424\) | 12.3253 | − | 2.61981i | 0.598567 | − | 0.127229i | ||||
\(425\) | −1.30483 | − | 12.4146i | −0.0632937 | − | 0.602199i | ||||
\(426\) | 0.325898 | − | 3.27954i | 0.0157898 | − | 0.158894i | ||||
\(427\) | −18.9951 | − | 1.16991i | −0.919235 | − | 0.0566158i | ||||
\(428\) | − | 0.717470i | − | 0.0346802i | ||||||
\(429\) | 9.81681 | + | 20.4814i | 0.473960 | + | 0.988853i | ||||
\(430\) | 6.32237 | − | 3.65022i | 0.304892 | − | 0.176029i | ||||
\(431\) | 1.63153 | + | 1.46903i | 0.0785878 | + | 0.0707608i | 0.707488 | − | 0.706725i | \(-0.249828\pi\) |
−0.628901 | + | 0.777486i | \(0.716495\pi\) | |||||||
\(432\) | −17.1119 | + | 7.97031i | −0.823298 | + | 0.383472i | ||||
\(433\) | 8.23372 | + | 11.3327i | 0.395687 | + | 0.544617i | 0.959655 | − | 0.281180i | \(-0.0907258\pi\) |
−0.563968 | + | 0.825797i | \(0.690726\pi\) | |||||||
\(434\) | 1.52554 | + | 0.255955i | 0.0732281 | + | 0.0122862i | ||||
\(435\) | −1.33078 | − | 6.09076i | −0.0638061 | − | 0.292029i | ||||
\(436\) | −0.556055 | − | 5.29051i | −0.0266302 | − | 0.253369i | ||||
\(437\) | −0.861693 | + | 8.19846i | −0.0412203 | + | 0.392185i | ||||
\(438\) | 4.69136 | + | 0.969402i | 0.224162 | + | 0.0463198i | ||||
\(439\) | −12.4554 | − | 7.19115i | −0.594466 | − | 0.343215i | 0.172395 | − | 0.985028i | \(-0.444849\pi\) |
−0.766861 | + | 0.641813i | \(0.778183\pi\) | |||||||
\(440\) | −1.98666 | + | 10.4976i | −0.0947101 | + | 0.500452i | ||||
\(441\) | 15.5078 | + | 14.1600i | 0.738469 | + | 0.674288i | ||||
\(442\) | 0.651253 | + | 2.00435i | 0.0309769 | + | 0.0953372i | ||||
\(443\) | −3.09053 | − | 6.94144i | −0.146835 | − | 0.329798i | 0.825122 | − | 0.564955i | \(-0.191106\pi\) |
−0.971957 | + | 0.235157i | \(0.924440\pi\) | |||||||
\(444\) | 1.56347 | + | 14.1053i | 0.0741989 | + | 0.669410i | ||||
\(445\) | −8.54568 | + | 1.81644i | −0.405104 | + | 0.0861075i | ||||
\(446\) | 4.23412 | + | 4.70246i | 0.200491 | + | 0.222668i | ||||
\(447\) | −11.9203 | + | 27.1873i | −0.563810 | + | 1.28592i | ||||
\(448\) | 8.01372 | − | 15.3782i | 0.378613 | − | 0.726553i | ||||
\(449\) | 11.5562 | − | 3.75484i | 0.545371 | − | 0.177202i | −0.0233573 | − | 0.999727i | \(-0.507436\pi\) |
0.568728 | + | 0.822525i | \(0.307436\pi\) | |||||||
\(450\) | 3.73654 | − | 2.21418i | 0.176142 | − | 0.104377i | ||||
\(451\) | 22.8522 | − | 17.3984i | 1.07607 | − | 0.819257i | ||||
\(452\) | −14.4266 | + | 8.32921i | −0.678571 | + | 0.391773i | ||||
\(453\) | 10.5786 | + | 31.9400i | 0.497025 | + | 1.50067i | ||||
\(454\) | −1.49182 | + | 2.05332i | −0.0700147 | + | 0.0963669i | ||||
\(455\) | 8.60222 | + | 33.3209i | 0.403278 | + | 1.56211i | ||||
\(456\) | 4.42554 | − | 0.966945i | 0.207245 | − | 0.0452813i | ||||
\(457\) | 19.7688 | + | 21.9555i | 0.924746 | + | 1.02703i | 0.999555 | + | 0.0298365i | \(0.00949865\pi\) |
−0.0748089 | + | 0.997198i | \(0.523835\pi\) | |||||||
\(458\) | 0.211800 | + | 0.0942992i | 0.00989674 | + | 0.00440631i | ||||
\(459\) | 0.975741 | − | 11.0968i | 0.0455437 | − | 0.517956i | ||||
\(460\) | −4.09159 | + | 19.2494i | −0.190771 | + | 0.897509i | ||||
\(461\) | −14.7329 | −0.686180 | −0.343090 | − | 0.939303i | \(-0.611474\pi\) | ||||
−0.343090 | + | 0.939303i | \(0.611474\pi\) | |||||||
\(462\) | −2.43333 | − | 2.89130i | −0.113209 | − | 0.134515i | ||||
\(463\) | 39.9889 | 1.85844 | 0.929221 | − | 0.369525i | \(-0.120480\pi\) | ||||
0.929221 | + | 0.369525i | \(0.120480\pi\) | |||||||
\(464\) | 0.826417 | − | 3.88799i | 0.0383655 | − | 0.180495i | ||||
\(465\) | −5.51908 | − | 12.2092i | −0.255941 | − | 0.566189i | ||||
\(466\) | −1.81975 | − | 0.810206i | −0.0842984 | − | 0.0375321i | ||||
\(467\) | −0.276387 | − | 0.306959i | −0.0127897 | − | 0.0142043i | 0.736716 | − | 0.676202i | \(-0.236375\pi\) |
−0.749506 | + | 0.661998i | \(0.769709\pi\) | |||||||
\(468\) | 16.9087 | − | 15.5756i | 0.781605 | − | 0.719981i | ||||
\(469\) | 3.76662 | − | 13.5596i | 0.173926 | − | 0.626123i | ||||
\(470\) | 2.15594 | − | 2.96739i | 0.0994460 | − | 0.136876i | ||||
\(471\) | −3.59284 | + | 1.18995i | −0.165549 | + | 0.0548302i | ||||
\(472\) | 11.9302 | − | 6.88790i | 0.549132 | − | 0.317041i | ||||
\(473\) | −8.51431 | + | 28.3501i | −0.391489 | + | 1.30354i | ||||
\(474\) | 0.0279294 | + | 4.92412i | 0.00128284 | + | 0.226172i | ||||
\(475\) | 14.7912 | − | 4.80596i | 0.678668 | − | 0.220513i | ||||
\(476\) | 5.90281 | + | 9.27427i | 0.270555 | + | 0.425085i | ||||
\(477\) | 38.3457 | − | 4.47063i | 1.75573 | − | 0.204696i | ||||
\(478\) | 3.21712 | + | 3.57297i | 0.147147 | + | 0.163424i | ||||
\(479\) | −7.10632 | + | 1.51050i | −0.324696 | + | 0.0690163i | −0.367376 | − | 0.930072i | \(-0.619744\pi\) |
0.0426799 | + | 0.999089i | \(0.486410\pi\) | |||||||
\(480\) | 16.2067 | − | 1.79639i | 0.739731 | − | 0.0819934i | ||||
\(481\) | −6.79833 | − | 15.2693i | −0.309977 | − | 0.696220i | ||||
\(482\) | 0.606581 | + | 1.86686i | 0.0276290 | + | 0.0850333i | ||||
\(483\) | −8.86254 | − | 11.0225i | −0.403259 | − | 0.501543i | ||||
\(484\) | −11.4763 | − | 17.9676i | −0.521649 | − | 0.816711i | ||||
\(485\) | 14.2744 | + | 8.24133i | 0.648167 | + | 0.374220i | ||||
\(486\) | 3.65075 | − | 1.30176i | 0.165601 | − | 0.0590490i | ||||
\(487\) | −0.715429 | + | 6.80685i | −0.0324192 | + | 0.308448i | 0.966282 | + | 0.257488i | \(0.0828947\pi\) |
−0.998701 | + | 0.0509599i | \(0.983772\pi\) | |||||||
\(488\) | −0.736228 | − | 7.00474i | −0.0333275 | − | 0.317090i | ||||
\(489\) | −30.5362 | + | 6.67192i | −1.38090 | + | 0.301715i | ||||
\(490\) | −2.77166 | − | 5.01026i | −0.125211 | − | 0.226341i | ||||
\(491\) | −0.108603 | − | 0.149479i | −0.00490119 | − | 0.00674591i | 0.806559 | − | 0.591153i | \(-0.201327\pi\) |
−0.811461 | + | 0.584407i | \(0.801327\pi\) | |||||||
\(492\) | −23.6158 | − | 16.9541i | −1.06468 | − | 0.764348i | ||||
\(493\) | 1.74314 | + | 1.56953i | 0.0785069 | + | 0.0706879i | ||||
\(494\) | −2.27392 | + | 1.31285i | −0.102309 | + | 0.0590679i | ||||
\(495\) | −9.05897 | + | 31.4546i | −0.407170 | + | 1.41378i | ||||
\(496\) | − | 8.54251i | − | 0.383570i | ||||||
\(497\) | 9.02656 | + | 18.1238i | 0.404897 | + | 0.812964i | ||||
\(498\) | 3.42507 | + | 0.340359i | 0.153481 | + | 0.0152519i | ||||
\(499\) | 2.32161 | + | 22.0886i | 0.103930 | + | 0.988823i | 0.914885 | + | 0.403715i | \(0.132281\pi\) |
−0.810955 | + | 0.585108i | \(0.801052\pi\) | |||||||
\(500\) | 5.13156 | − | 1.09075i | 0.229491 | − | 0.0487797i | ||||
\(501\) | −4.30796 | − | 4.73024i | −0.192465 | − | 0.211332i | ||||
\(502\) | −6.03781 | + | 0.634600i | −0.269481 | + | 0.0283236i | ||||
\(503\) | −3.91583 | − | 2.84502i | −0.174598 | − | 0.126853i | 0.497054 | − | 0.867720i | \(-0.334415\pi\) |
−0.671652 | + | 0.740867i | \(0.734415\pi\) | |||||||
\(504\) | −4.21866 | + | 6.52743i | −0.187914 | + | 0.290755i | ||||
\(505\) | −18.7513 | −0.834420 | ||||||||
\(506\) | 1.32164 | + | 2.17511i | 0.0587539 | + | 0.0966956i | ||||
\(507\) | −2.25702 | + | 3.96099i | −0.100238 | + | 0.175914i | ||||
\(508\) | 7.05639 | − | 7.83691i | 0.313076 | − | 0.347707i | ||||
\(509\) | 17.9428 | − | 7.98864i | 0.795300 | − | 0.354090i | 0.0314674 | − | 0.999505i | \(-0.489982\pi\) |
0.763833 | + | 0.645414i | \(0.223315\pi\) | |||||||
\(510\) | −1.21963 | + | 2.78168i | −0.0540060 | + | 0.123175i | ||||
\(511\) | −27.5711 | + | 10.2950i | −1.21968 | + | 0.455426i | ||||
\(512\) | 16.6536 | + | 5.41107i | 0.735991 | + | 0.239138i | ||||
\(513\) | 13.7760 | − | 1.68536i | 0.608226 | − | 0.0744106i | ||||
\(514\) | 0.837103 | + | 0.0879831i | 0.0369230 | + | 0.00388077i | ||||
\(515\) | 5.40928 | + | 4.87054i | 0.238361 | + | 0.214621i | ||||
\(516\) | 29.9612 | − | 0.169938i | 1.31897 | − | 0.00748112i | ||||
\(517\) | 1.88550 | + | 14.7522i | 0.0829243 | + | 0.648802i | ||||
\(518\) | 1.73028 | + | 2.17716i | 0.0760240 | + | 0.0956588i | ||||
\(519\) | −28.4405 | + | 31.9489i | −1.24840 | + | 1.40240i | ||||
\(520\) | −11.6352 | + | 5.18031i | −0.510235 | + | 0.227171i | ||||
\(521\) | −15.8428 | − | 7.05369i | −0.694088 | − | 0.309028i | 0.0292009 | − | 0.999574i | \(-0.490704\pi\) |
−0.723289 | + | 0.690546i | \(0.757370\pi\) | |||||||
\(522\) | −0.243376 | + | 0.778994i | −0.0106523 | + | 0.0340956i | ||||
\(523\) | −27.2843 | + | 24.5669i | −1.19306 | + | 1.07423i | −0.197478 | + | 0.980307i | \(0.563275\pi\) |
−0.995579 | + | 0.0939261i | \(0.970058\pi\) | |||||||
\(524\) | −23.3954 | + | 16.9978i | −1.02203 | + | 0.742550i | ||||
\(525\) | −12.1967 | + | 23.7327i | −0.532305 | + | 1.03578i | ||||
\(526\) | −2.14362 | − | 6.59737i | −0.0934661 | − | 0.287659i | ||||
\(527\) | 4.36570 | + | 2.52054i | 0.190173 | + | 0.109796i | ||||
\(528\) | −13.5235 | + | 15.8949i | −0.588535 | + | 0.691735i | ||||
\(529\) | −6.73712 | − | 11.6690i | −0.292918 | − | 0.507349i | ||||
\(530\) | −10.2960 | − | 2.18849i | −0.447231 | − | 0.0950619i | ||||
\(531\) | 38.3599 | − | 17.6030i | 1.66468 | − | 0.763904i | ||||
\(532\) | −9.77314 | + | 9.59586i | −0.423720 | + | 0.416033i | ||||
\(533\) | 32.5631 | + | 10.5804i | 1.41047 | + | 0.458288i | ||||
\(534\) | 1.08969 | + | 0.347240i | 0.0471553 | + | 0.0150265i | ||||
\(535\) | −0.495328 | + | 1.11252i | −0.0214149 | + | 0.0480986i | ||||
\(536\) | 5.17984 | + | 0.544423i | 0.223735 | + | 0.0235155i | ||||
\(537\) | 8.57578 | − | 2.84032i | 0.370072 | − | 0.122569i | ||||
\(538\) | 1.38135i | 0.0595543i | ||||||||
\(539\) | 22.1093 | + | 7.08372i | 0.952315 | + | 0.305118i | ||||
\(540\) | 33.1270 | − | 0.563733i | 1.42556 | − | 0.0242592i | ||||
\(541\) | −40.5446 | − | 8.61802i | −1.74315 | − | 0.370518i | −0.777200 | − | 0.629254i | \(-0.783361\pi\) |
−0.965948 | + | 0.258736i | \(0.916694\pi\) | |||||||
\(542\) | −0.397565 | + | 3.78258i | −0.0170769 | + | 0.162476i | ||||
\(543\) | −24.7488 | + | 2.74322i | −1.06207 | + | 0.117723i | ||||
\(544\) | −4.55910 | + | 4.10503i | −0.195470 | + | 0.176002i | ||||
\(545\) | −2.79023 | + | 8.58746i | −0.119521 | + | 0.367846i | ||||
\(546\) | 1.18110 | − | 4.34733i | 0.0505463 | − | 0.186049i | ||||
\(547\) | −12.2945 | − | 8.93246i | −0.525674 | − | 0.381924i | 0.293063 | − | 0.956093i | \(-0.405325\pi\) |
−0.818737 | + | 0.574169i | \(0.805325\pi\) | |||||||
\(548\) | −3.63051 | + | 17.0802i | −0.155088 | + | 0.729631i | ||||
\(549\) | −0.244784 | − | 21.5778i | −0.0104471 | − | 0.920917i | ||||
\(550\) | 2.73464 | − | 3.94691i | 0.116606 | − | 0.168297i | ||||
\(551\) | −1.46119 | + | 2.53085i | −0.0622486 | + | 0.107818i | ||||
\(552\) | 3.48044 | − | 3.90979i | 0.148137 | − | 0.166412i | ||||
\(553\) | −16.2435 | − | 25.5212i | −0.690746 | − | 1.08527i | ||||
\(554\) | −1.35373 | − | 1.86325i | −0.0575146 | − | 0.0791621i | ||||
\(555\) | 7.31371 | − | 22.9514i | 0.310450 | − | 0.974234i | ||||
\(556\) | 6.99409 | + | 32.9046i | 0.296616 | + | 1.39547i | ||||
\(557\) | 6.71815 | − | 15.0892i | 0.284657 | − | 0.639350i | −0.713459 | − | 0.700697i | \(-0.752873\pi\) |
0.998117 | + | 0.0613462i | \(0.0195394\pi\) | |||||||
\(558\) | −0.163541 | + | 1.74633i | −0.00692325 | + | 0.0739281i | ||||
\(559\) | −33.5603 | + | 10.9044i | −1.41945 | + | 0.461207i | ||||
\(560\) | −24.7550 | + | 19.6738i | −1.04609 | + | 0.831369i | ||||
\(561\) | −4.13293 | − | 11.6012i | −0.174493 | − | 0.489801i | ||||
\(562\) | −2.92081 | + | 5.05900i | −0.123207 | + | 0.213401i | ||||
\(563\) | 5.52138 | − | 6.13211i | 0.232698 | − | 0.258438i | −0.615475 | − | 0.788156i | \(-0.711036\pi\) |
0.848173 | + | 0.529719i | \(0.177703\pi\) | |||||||
\(564\) | 13.7170 | − | 6.20066i | 0.577590 | − | 0.261095i | ||||
\(565\) | 28.1206 | − | 2.95559i | 1.18304 | − | 0.124343i | ||||
\(566\) | −0.791566 | + | 2.43619i | −0.0332720 | + | 0.102401i | ||||
\(567\) | −14.7334 | + | 18.7063i | −0.618744 | + | 0.785592i | ||||
\(568\) | −6.06232 | + | 4.40454i | −0.254369 | + | 0.184810i | ||||
\(569\) | −8.08276 | − | 18.1542i | −0.338847 | − | 0.761062i | −0.999942 | − | 0.0107604i | \(-0.996575\pi\) |
0.661095 | − | 0.750302i | \(-0.270092\pi\) | |||||||
\(570\) | −3.70585 | − | 0.765759i | −0.155221 | − | 0.0320741i | ||||
\(571\) | 3.54746 | + | 6.14438i | 0.148457 | + | 0.257134i | 0.930657 | − | 0.365892i | \(-0.119236\pi\) |
−0.782201 | + | 0.623027i | \(0.785903\pi\) | |||||||
\(572\) | 9.81472 | − | 23.4439i | 0.410374 | − | 0.980241i | ||||
\(573\) | 23.9868 | − | 14.0308i | 1.00206 | − | 0.586143i | ||||
\(574\) | −5.68600 | − | 0.350201i | −0.237329 | − | 0.0146171i | ||||
\(575\) | 10.5633 | − | 14.5391i | 0.440519 | − | 0.606323i | ||||
\(576\) | 18.0524 | + | 7.79331i | 0.752185 | + | 0.324721i | ||||
\(577\) | −6.12074 | − | 28.7958i | −0.254810 | − | 1.19879i | −0.900387 | − | 0.435091i | \(-0.856716\pi\) |
0.645577 | − | 0.763695i | \(-0.276617\pi\) | |||||||
\(578\) | 0.641224 | + | 3.01672i | 0.0266714 | + | 0.125479i | ||||
\(579\) | 2.99410 | − | 2.20140i | 0.124431 | − | 0.0914869i | ||||
\(580\) | −4.10062 | + | 5.64402i | −0.170269 | + | 0.234355i | ||||
\(581\) | −18.9280 | + | 9.42711i | −0.785268 | + | 0.391103i | ||||
\(582\) | −1.08942 | − | 1.86246i | −0.0451580 | − | 0.0772014i | ||||
\(583\) | 36.4746 | − | 22.1626i | 1.51062 | − | 0.917880i | ||||
\(584\) | −5.44607 | − | 9.43287i | −0.225360 | − | 0.390335i | ||||
\(585\) | −36.9721 | + | 12.4784i | −1.52861 | + | 0.515917i | ||||
\(586\) | −1.33823 | − | 3.00571i | −0.0552817 | − | 0.124165i | ||||
\(587\) | 10.3566 | − | 7.52448i | 0.427461 | − | 0.310569i | −0.353172 | − | 0.935558i | \(-0.614897\pi\) |
0.780633 | + | 0.624990i | \(0.214897\pi\) | |||||||
\(588\) | 0.296861 | − | 23.4973i | 0.0122423 | − | 0.969012i | ||||
\(589\) | −1.94081 | + | 5.97320i | −0.0799697 | + | 0.246121i | ||||
\(590\) | −11.4447 | + | 1.20289i | −0.471172 | + | 0.0495221i | ||||
\(591\) | 3.64806 | + | 8.07017i | 0.150061 | + | 0.331962i | ||||
\(592\) | 10.2765 | − | 11.4132i | 0.422361 | − | 0.469079i | ||||
\(593\) | −15.4270 | + | 26.7203i | −0.633510 | + | 1.09727i | 0.353319 | + | 0.935503i | \(0.385053\pi\) |
−0.986829 | + | 0.161768i | \(0.948280\pi\) | |||||||
\(594\) | 3.06888 | − | 2.99046i | 0.125918 | − | 0.122700i | ||||
\(595\) | −2.75024 | − | 18.4561i | −0.112749 | − | 0.756625i | ||||
\(596\) | 31.5928 | − | 10.2651i | 1.29409 | − | 0.420475i | ||||
\(597\) | 4.15321 | − | 5.78513i | 0.169980 | − | 0.236769i | ||||
\(598\) | −1.23407 | + | 2.77177i | −0.0504650 | + | 0.113346i | ||||
\(599\) | −8.98917 | − | 42.2907i | −0.367288 | − | 1.72795i | −0.642248 | − | 0.766497i | \(-0.721998\pi\) |
0.274960 | − | 0.961456i | \(-0.411335\pi\) | |||||||
\(600\) | −9.40923 | − | 2.99835i | −0.384130 | − | 0.122407i | ||||
\(601\) | 16.3042 | + | 22.4408i | 0.665062 | + | 0.915380i | 0.999636 | − | 0.0269901i | \(-0.00859225\pi\) |
−0.334574 | + | 0.942370i | \(0.608592\pi\) | |||||||
\(602\) | 4.95309 | − | 3.15250i | 0.201873 | − | 0.128486i | ||||
\(603\) | 15.6452 | + | 3.14043i | 0.637122 | + | 0.127888i | ||||
\(604\) | 18.8252 | − | 32.6062i | 0.765986 | − | 1.32673i | ||||
\(605\) | 5.39083 | + | 35.7840i | 0.219168 | + | 1.45483i | ||||
\(606\) | 2.13272 | + | 1.21525i | 0.0866358 | + | 0.0493662i | ||||
\(607\) | 3.85016 | − | 18.1136i | 0.156273 | − | 0.735208i | −0.828307 | − | 0.560275i | \(-0.810696\pi\) |
0.984580 | − | 0.174934i | \(-0.0559711\pi\) | |||||||
\(608\) | −6.18360 | − | 4.49265i | −0.250778 | − | 0.182201i | ||||
\(609\) | −1.28083 | − | 4.84756i | −0.0519020 | − | 0.196433i | ||||
\(610\) | −1.81817 | + | 5.59575i | −0.0736155 | + | 0.226565i | ||||
\(611\) | −13.1753 | + | 11.8631i | −0.533017 | + | 0.479930i | ||||
\(612\) | −10.0009 | + | 7.44088i | −0.404264 | + | 0.300780i | ||||
\(613\) | −4.47928 | + | 42.6175i | −0.180916 | + | 1.72130i | 0.407892 | + | 0.913030i | \(0.366264\pi\) |
−0.588808 | + | 0.808273i | \(0.700403\pi\) | |||||||
\(614\) | −4.66127 | − | 0.990783i | −0.188113 | − | 0.0399848i | ||||
\(615\) | 24.9144 | + | 42.5932i | 1.00464 | + | 1.71752i | ||||
\(616\) | −1.23157 | + | 8.50358i | −0.0496215 | + | 0.342619i | ||||
\(617\) | 20.7303i | 0.834570i | 0.908776 | + | 0.417285i | \(0.137018\pi\) | ||||
−0.908776 | + | 0.417285i | \(0.862982\pi\) | |||||||
\(618\) | −0.299583 | − | 0.904532i | −0.0120510 | − | 0.0363856i | ||||
\(619\) | 8.21208 | + | 0.863124i | 0.330071 | + | 0.0346919i | 0.268115 | − | 0.963387i | \(-0.413599\pi\) |
0.0619564 | + | 0.998079i | \(0.480266\pi\) | |||||||
\(620\) | −6.09831 | + | 13.6970i | −0.244914 | + | 0.550086i | ||||
\(621\) | 11.7337 | − | 10.9323i | 0.470859 | − | 0.438698i | ||||
\(622\) | 0.425303 | + | 0.138189i | 0.0170531 | + | 0.00554088i | ||||
\(623\) | −6.80317 | + | 1.75633i | −0.272563 | + | 0.0703658i | ||||
\(624\) | −24.7564 | − | 2.46012i | −0.991050 | − | 0.0984837i | ||||
\(625\) | 19.7675 | + | 4.20172i | 0.790701 | + | 0.168069i | ||||
\(626\) | 0.427977 | + | 0.741278i | 0.0171054 | + | 0.0296274i | ||||
\(627\) | 13.0673 | − | 8.04173i | 0.521857 | − | 0.321156i | ||||
\(628\) | 3.66778 | + | 2.11759i | 0.146360 | + | 0.0845011i | ||||
\(629\) | 2.80061 | + | 8.61940i | 0.111668 | + | 0.343678i | ||||
\(630\) | 5.43726 | − | 3.54796i | 0.216626 | − | 0.141354i | ||||
\(631\) | −8.81884 | + | 6.40726i | −0.351072 | + | 0.255069i | −0.749319 | − | 0.662210i | \(-0.769619\pi\) |
0.398246 | + | 0.917278i | \(0.369619\pi\) | |||||||
\(632\) | 8.32039 | − | 7.49171i | 0.330967 | − | 0.298004i | ||||
\(633\) | −17.5419 | − | 19.2615i | −0.697230 | − | 0.765575i | ||||
\(634\) | 0.494925 | + | 0.220355i | 0.0196560 | + | 0.00875140i | ||||
\(635\) | −16.3522 | + | 7.28048i | −0.648919 | + | 0.288917i | ||||
\(636\) | −32.2671 | − | 28.7238i | −1.27948 | − | 1.13897i | ||||
\(637\) | 8.06919 | + | 26.4738i | 0.319713 | + | 1.04893i | ||||
\(638\) | 0.114389 | + | 0.894982i | 0.00452870 | + | 0.0354327i | ||||
\(639\) | −19.7509 | + | 11.7039i | −0.781334 | + | 0.463000i | ||||
\(640\) | −17.9764 | − | 16.1861i | −0.710581 | − | 0.639810i | ||||
\(641\) | −3.08690 | − | 0.324446i | −0.121925 | − | 0.0128148i | 0.0433694 | − | 0.999059i | \(-0.486191\pi\) |
−0.165294 | + | 0.986244i | \(0.552857\pi\) | |||||||
\(642\) | 0.128439 | − | 0.0944340i | 0.00506908 | − | 0.00372701i | ||||
\(643\) | −15.2123 | − | 4.94278i | −0.599915 | − | 0.194924i | −0.00671245 | − | 0.999977i | \(-0.502137\pi\) |
−0.593202 | + | 0.805053i | \(0.702137\pi\) | |||||||
\(644\) | −2.61882 | + | 15.6086i | −0.103196 | + | 0.615066i | ||||
\(645\) | −46.5757 | − | 20.4211i | −1.83392 | − | 0.804080i | ||||
\(646\) | 1.30064 | − | 0.579082i | 0.0511729 | − | 0.0227837i | ||||
\(647\) | 2.11259 | − | 2.34627i | 0.0830547 | − | 0.0922416i | −0.700185 | − | 0.713962i | \(-0.746899\pi\) |
0.783240 | + | 0.621720i | \(0.213566\pi\) | |||||||
\(648\) | −7.72998 | − | 4.23206i | −0.303662 | − | 0.166251i | ||||
\(649\) | 30.4374 | − | 35.3662i | 1.19477 | − | 1.38824i | ||||
\(650\) | 5.72410 | 0.224518 | ||||||||
\(651\) | −4.85858 | − | 9.61812i | −0.190423 | − | 0.376964i | ||||
\(652\) | 28.2965 | + | 20.5586i | 1.10818 | + | 0.805137i | ||||
\(653\) | −14.8405 | + | 1.55980i | −0.580752 | + | 0.0610395i | −0.390350 | − | 0.920667i | \(-0.627646\pi\) |
−0.190402 | + | 0.981706i | \(0.560979\pi\) | |||||||
\(654\) | 0.873899 | − | 0.795884i | 0.0341722 | − | 0.0311215i | ||||
\(655\) | 48.0123 | − | 10.2053i | 1.87600 | − | 0.398755i | ||||
\(656\) | 3.28851 | + | 31.2880i | 0.128395 | + | 1.22159i | ||||
\(657\) | −13.9182 | − | 30.3301i | −0.543000 | − | 1.18329i | ||||
\(658\) | 1.62917 | − | 2.45913i | 0.0635116 | − | 0.0958669i | ||||
\(659\) | − | 1.21731i | − | 0.0474196i | −0.999719 | − | 0.0237098i | \(-0.992452\pi\) | ||
0.999719 | − | 0.0237098i | \(-0.00754777\pi\) | |||||||
\(660\) | 33.0305 | − | 15.8316i | 1.28571 | − | 0.616245i | ||||
\(661\) | 14.8939 | − | 8.59902i | 0.579307 | − | 0.334463i | −0.181551 | − | 0.983382i | \(-0.558112\pi\) |
0.760858 | + | 0.648918i | \(0.224778\pi\) | |||||||
\(662\) | −0.285713 | − | 0.257257i | −0.0111046 | − | 0.00999858i | ||||
\(663\) | 8.56184 | − | 11.9260i | 0.332514 | − | 0.463168i | ||||
\(664\) | −4.59998 | − | 6.33134i | −0.178514 | − | 0.245703i | ||||
\(665\) | 21.7792 | − | 8.13236i | 0.844563 | − | 0.315359i | ||||
\(666\) | −2.31930 | + | 2.13644i | −0.0898712 | + | 0.0827855i | ||||
\(667\) | 0.352982 | + | 3.35840i | 0.0136675 | + | 0.130038i | ||||
\(668\) | −0.748356 | + | 7.12013i | −0.0289548 | + | 0.275486i | ||||
\(669\) | 8.92009 | − | 43.1682i | 0.344871 | − | 1.66898i | ||||
\(670\) | −3.76796 | − | 2.17543i | −0.145569 | − | 0.0840443i | ||||
\(671\) | −10.1892 | − | 21.5713i | −0.393348 | − | 0.832752i | ||||
\(672\) | 12.9593 | − | 2.00634i | 0.499917 | − | 0.0773963i | ||||
\(673\) | 8.70541 | + | 26.7925i | 0.335569 | + | 1.03277i | 0.966441 | + | 0.256888i | \(0.0826971\pi\) |
−0.630873 | + | 0.775886i | \(0.717303\pi\) | |||||||
\(674\) | 2.39119 | + | 5.37071i | 0.0921053 | + | 0.206872i | ||||
\(675\) | −27.8457 | − | 11.8342i | −1.07178 | − | 0.455497i | ||||
\(676\) | 4.98997 | − | 1.06065i | 0.191922 | − | 0.0407943i | ||||
\(677\) | −29.6851 | − | 32.9687i | −1.14089 | − | 1.26709i | −0.958886 | − | 0.283792i | \(-0.908408\pi\) |
−0.182006 | − | 0.983297i | \(-0.558259\pi\) | |||||||
\(678\) | −3.38991 | − | 1.48630i | −0.130189 | − | 0.0570812i | ||||
\(679\) | 11.7555 | + | 6.12587i | 0.451133 | + | 0.235089i | ||||
\(680\) | 6.56795 | − | 2.13406i | 0.251869 | − | 0.0818373i | ||||
\(681\) | 17.6800 | − | 0.100280i | 0.677500 | − | 0.00384275i | ||||
\(682\) | 0.640372 | + | 1.83030i | 0.0245211 | + | 0.0700858i | ||||
\(683\) | −16.2632 | + | 9.38955i | −0.622293 | + | 0.359281i | −0.777761 | − | 0.628560i | \(-0.783645\pi\) |
0.155468 | + | 0.987841i | \(0.450311\pi\) | |||||||
\(684\) | −11.6585 | − | 10.2603i | −0.445773 | − | 0.392312i | ||||
\(685\) | 17.4214 | − | 23.9785i | 0.665638 | − | 0.916172i | ||||
\(686\) | −2.40101 | − | 3.92935i | −0.0916710 | − | 0.150023i | ||||
\(687\) | −0.344743 | − | 1.57783i | −0.0131528 | − | 0.0601980i | ||||
\(688\) | −21.6958 | − | 24.0956i | −0.827143 | − | 0.918635i | ||||
\(689\) | 46.4800 | + | 20.6942i | 1.77075 | + | 0.788387i | ||||
\(690\) | −3.98450 | + | 1.80116i | −0.151687 | + | 0.0685691i | ||||
\(691\) | 3.16094 | − | 14.8710i | 0.120248 | − | 0.565721i | −0.876232 | − | 0.481889i | \(-0.839951\pi\) |
0.996480 | − | 0.0838318i | \(-0.0267159\pi\) | |||||||
\(692\) | 47.8642 | 1.81952 | ||||||||
\(693\) | −6.18602 | + | 25.5878i | −0.234987 | + | 0.971998i | ||||
\(694\) | 3.18105 | 0.120751 | ||||||||
\(695\) | 11.8715 | − | 55.8512i | 0.450313 | − | 2.11856i | ||||
\(696\) | 1.69090 | − | 0.764358i | 0.0640934 | − | 0.0289729i | ||||
\(697\) | −16.9602 | − | 7.55117i | −0.642414 | − | 0.286021i | ||||
\(698\) | 3.67778 | + | 4.08459i | 0.139206 | + | 0.154604i | ||||
\(699\) | 2.96198 | + | 13.5565i | 0.112033 | + | 0.512754i | ||||
\(700\) | 28.9110 | − | 7.46375i | 1.09273 | − | 0.282103i | ||||
\(701\) | −7.81838 | + | 10.7611i | −0.295296 | + | 0.406440i | −0.930725 | − | 0.365719i | \(-0.880823\pi\) |
0.635429 | + | 0.772159i | \(0.280823\pi\) | |||||||
\(702\) | 5.01382 | + | 0.976865i | 0.189234 | + | 0.0368694i | ||||
\(703\) | −9.77865 | + | 5.64571i | −0.368809 | + | 0.212932i | ||||
\(704\) | 21.7326 | − | 0.486945i | 0.819078 | − | 0.0183524i | ||||
\(705\) | −25.5507 | + | 0.144922i | −0.962294 | + | 0.00545809i | ||||
\(706\) | 7.72737 | − | 2.51077i | 0.290823 | − | 0.0944942i | ||||
\(707\) | −15.0662 | + | 0.651377i | −0.566624 | + | 0.0244976i | ||||
\(708\) | −43.2539 | − | 18.9647i | −1.62558 | − | 0.712736i | ||||
\(709\) | 19.9216 | + | 22.1251i | 0.748170 | + | 0.830927i | 0.990246 | − | 0.139330i | \(-0.0444949\pi\) |
−0.242076 | + | 0.970257i | \(0.577828\pi\) | |||||||
\(710\) | 6.12294 | − | 1.30147i | 0.229790 | − | 0.0488433i | ||||
\(711\) | 27.5209 | − | 20.4761i | 1.03211 | − | 0.767912i | ||||
\(712\) | −1.05767 | − | 2.37557i | −0.0396379 | − | 0.0890281i | ||||
\(713\) | 2.24267 | + | 6.90223i | 0.0839886 | + | 0.258490i | ||||
\(714\) | −0.883314 | + | 2.27739i | −0.0330572 | + | 0.0852291i | ||||
\(715\) | −31.4042 | + | 29.5768i | −1.17445 | + | 1.10611i | ||||
\(716\) | −8.75466 | − | 5.05450i | −0.327177 | − | 0.188896i | ||||
\(717\) | 6.77756 | − | 32.7996i | 0.253113 | − | 1.22492i | ||||
\(718\) | 0.483557 | − | 4.60074i | 0.0180462 | − | 0.171698i | ||||
\(719\) | 0.685480 | + | 6.52190i | 0.0255641 | + | 0.243226i | 0.999840 | + | 0.0178690i | \(0.00568818\pi\) |
−0.974276 | + | 0.225357i | \(0.927645\pi\) | |||||||
\(720\) | −24.2920 | − | 26.3712i | −0.905311 | − | 0.982797i | ||||
\(721\) | 4.51543 | + | 3.72546i | 0.168163 | + | 0.138743i | ||||
\(722\) | −1.73417 | − | 2.38687i | −0.0645389 | − | 0.0888302i | ||||
\(723\) | 7.97455 | − | 11.1080i | 0.296577 | − | 0.413110i | ||||
\(724\) | 20.7068 | + | 18.6445i | 0.769562 | + | 0.692917i | ||||
\(725\) | 5.51732 | − | 3.18543i | 0.204908 | − | 0.118304i | ||||
\(726\) | 1.70599 | − | 4.41936i | 0.0633151 | − | 0.164018i | ||||
\(727\) | − | 22.8823i | − | 0.848658i | −0.905508 | − | 0.424329i | \(-0.860510\pi\) | ||
0.905508 | − | 0.424329i | \(-0.139490\pi\) | |||||||
\(728\) | −9.16864 | + | 4.56644i | −0.339813 | + | 0.169244i | ||||
\(729\) | −22.3708 | − | 15.1178i | −0.828548 | − | 0.559918i | ||||
\(730\) | 0.951090 | + | 9.04902i | 0.0352014 | + | 0.334919i | ||||
\(731\) | 18.7157 | − | 3.97814i | 0.692224 | − | 0.147137i | ||||
\(732\) | −17.8530 | + | 16.2592i | −0.659865 | + | 0.600957i | ||||
\(733\) | −2.94401 | + | 0.309428i | −0.108739 | + | 0.0114290i | −0.158742 | − | 0.987320i | \(-0.550744\pi\) |
0.0500024 | + | 0.998749i | \(0.484077\pi\) | |||||||
\(734\) | −2.65448 | − | 1.92859i | −0.0979785 | − | 0.0711856i | ||||
\(735\) | −16.6824 | + | 36.2305i | −0.615340 | + | 1.33638i | ||||
\(736\) | −8.83214 | −0.325557 | ||||||||
\(737\) | 17.1694 | − | 4.05348i | 0.632444 | − | 0.149312i | ||||
\(738\) | −0.0732740 | − | 6.45912i | −0.00269725 | − | 0.237764i | ||||
\(739\) | −24.9996 | + | 27.7649i | −0.919627 | + | 1.02135i | 0.0800715 | + | 0.996789i | \(0.474485\pi\) |
−0.999698 | + | 0.0245600i | \(0.992182\pi\) | |||||||
\(740\) | −24.6249 | + | 10.9637i | −0.905228 | + | 0.403034i | ||||
\(741\) | 16.7516 | + | 7.34471i | 0.615384 | + | 0.269815i | ||||
\(742\) | −8.34866 | − | 1.40074i | −0.306489 | − | 0.0514229i | ||||
\(743\) | 28.0626 | + | 9.11808i | 1.02952 | + | 0.334510i | 0.774599 | − | 0.632453i | \(-0.217952\pi\) |
0.254917 | + | 0.966963i | \(0.417952\pi\) | |||||||
\(744\) | 3.21303 | − | 2.36236i | 0.117795 | − | 0.0866085i | ||||
\(745\) | −56.0753 | − | 5.89375i | −2.05444 | − | 0.215930i | ||||
\(746\) | 1.69099 | + | 1.52257i | 0.0619115 | + | 0.0557454i | ||||
\(747\) | −12.2233 | − | 20.6274i | −0.447226 | − | 0.754715i | ||||
\(748\) | −6.62142 | + | 12.0860i | −0.242103 | + | 0.441909i | ||||
\(749\) | −0.359338 | + | 0.911096i | −0.0131299 | + | 0.0332907i | ||||
\(750\) | 0.870683 | + | 0.775069i | 0.0317928 | + | 0.0283015i | ||||
\(751\) | −14.2401 | + | 6.34010i | −0.519628 | + | 0.231353i | −0.649755 | − | 0.760144i | \(-0.725128\pi\) |
0.130126 | + | 0.991497i | \(0.458462\pi\) | |||||||
\(752\) | −14.8820 | − | 6.62591i | −0.542692 | − | 0.241622i | ||||
\(753\) | 28.4766 | + | 31.2680i | 1.03775 | + | 1.13947i | ||||
\(754\) | −0.799316 | + | 0.719707i | −0.0291094 | + | 0.0262102i | ||||
\(755\) | −51.7014 | + | 37.5633i | −1.88161 | + | 1.36707i | ||||
\(756\) | 26.5972 | − | 1.60371i | 0.967333 | − | 0.0583262i | ||||
\(757\) | 0.474368 | + | 1.45995i | 0.0172412 | + | 0.0530629i | 0.959307 | − | 0.282365i | \(-0.0911190\pi\) |
−0.942066 | + | 0.335428i | \(0.891119\pi\) | |||||||
\(758\) | −4.68118 | − | 2.70268i | −0.170028 | − | 0.0981657i | ||||
\(759\) | 6.75391 | − | 16.3931i | 0.245151 | − | 0.595033i | ||||
\(760\) | 4.30201 | + | 7.45130i | 0.156050 | + | 0.270287i | ||||
\(761\) | −23.1045 | − | 4.91102i | −0.837538 | − | 0.178024i | −0.230875 | − | 0.972983i | \(-0.574159\pi\) |
−0.606663 | + | 0.794959i | \(0.707492\pi\) | |||||||
\(762\) | 2.33170 | + | 0.231708i | 0.0844687 | + | 0.00839391i | ||||
\(763\) | −1.94358 | + | 6.99676i | −0.0703624 | + | 0.253300i | ||||
\(764\) | −29.5741 | − | 9.60921i | −1.06995 | − | 0.347649i | ||||
\(765\) | 20.6447 | − | 4.63354i | 0.746411 | − | 0.167526i | ||||
\(766\) | 1.51488 | − | 3.40248i | 0.0547349 | − | 0.122937i | ||||
\(767\) | 55.3191 | + | 5.81428i | 1.99746 | + | 0.209941i | ||||
\(768\) | −6.14290 | − | 18.5473i | −0.221663 | − | 0.669267i | ||||
\(769\) | − | 15.9733i | − | 0.576013i | −0.957629 | − | 0.288006i | \(-0.907008\pi\) | ||
0.957629 | − | 0.288006i | \(-0.0929924\pi\) | |||||||
\(770\) | 3.82914 | − | 6.07097i | 0.137993 | − | 0.218783i | ||||
\(771\) | −2.96050 | − | 5.06122i | −0.106620 | − | 0.182275i | ||||
\(772\) | −4.06768 | − | 0.864612i | −0.146399 | − | 0.0311181i | ||||
\(773\) | −1.88853 | + | 17.9681i | −0.0679255 | + | 0.646268i | 0.906600 | + | 0.421991i | \(0.138669\pi\) |
−0.974525 | + | 0.224277i | \(0.927998\pi\) | |||||||
\(774\) | 3.97393 | + | 5.34117i | 0.142840 | + | 0.191985i | ||||
\(775\) | 10.1750 | − | 9.16165i | 0.365499 | − | 0.329096i | ||||
\(776\) | −1.51602 | + | 4.66583i | −0.0544219 | + | 0.167493i | ||||
\(777\) | 5.07913 | − | 18.6950i | 0.182213 | − | 0.670681i | ||||
\(778\) | −3.42407 | − | 2.48773i | −0.122759 | − | 0.0891896i | ||||
\(779\) | 4.80903 | − | 22.6247i | 0.172302 | − | 0.810615i | ||||
\(780\) | 37.9381 | + | 21.6176i | 1.35840 | + | 0.774034i | ||||
\(781\) | −14.4550 | + | 20.8629i | −0.517242 | + | 0.746534i | ||||
\(782\) | 0.822581 | − | 1.42475i | 0.0294154 | − | 0.0509491i | ||||
\(783\) | 5.37632 | − | 1.84858i | 0.192134 | − | 0.0660630i | ||||
\(784\) | −19.2067 | + | 16.6674i | −0.685952 | + | 0.595264i | ||||
\(785\) | −4.22539 | − | 5.81575i | −0.150811 | − | 0.207573i | ||||
\(786\) | −6.12220 | − | 1.95090i | −0.218372 | − | 0.0695864i | ||||
\(787\) | 0.354649 | + | 1.66849i | 0.0126419 | + | 0.0594753i | 0.984016 | − | 0.178078i | \(-0.0569879\pi\) |
−0.971375 | + | 0.237553i | \(0.923655\pi\) | |||||||
\(788\) | 4.03092 | − | 9.05359i | 0.143596 | − | 0.322521i | ||||
\(789\) | −28.1815 | + | 39.2548i | −1.00329 | + | 1.39751i | ||||
\(790\) | −8.89509 | + | 2.89019i | −0.316473 | + | 0.102828i | ||||
\(791\) | 22.4916 | − | 3.35160i | 0.799709 | − | 0.119169i | ||||
\(792\) | −9.71823 | − | 0.690897i | −0.345322 | − | 0.0245500i | ||||
\(793\) | 14.2198 | − | 24.6293i | 0.504958 | − | 0.874613i | ||||
\(794\) | −0.630333 | + | 0.700055i | −0.0223697 | + | 0.0248440i | ||||
\(795\) | 30.2038 | + | 66.8163i | 1.07122 | + | 2.36973i | ||||
\(796\) | −7.92545 | + | 0.832998i | −0.280910 | + | 0.0295248i | ||||
\(797\) | 3.43584 | − | 10.5744i | 0.121704 | − | 0.374565i | −0.871582 | − | 0.490249i | \(-0.836906\pi\) |
0.993286 | + | 0.115684i | \(0.0369059\pi\) | |||||||
\(798\) | −3.00417 | − | 0.486538i | −0.106346 | − | 0.0172233i | ||||
\(799\) | 7.77727 | − | 5.65052i | 0.275140 | − | 0.199901i | ||||
\(800\) | 6.77734 | + | 15.2222i | 0.239615 | + | 0.538185i | ||||
\(801\) | −2.54773 | − | 7.54864i | −0.0900195 | − | 0.266718i | ||||
\(802\) | 4.34203 | + | 7.52062i | 0.153322 | + | 0.265562i | ||||
\(803\) | −27.9630 | − | 24.0660i | −0.986794 | − | 0.849269i | ||||
\(804\) | −9.01573 | − | 15.4131i | −0.317960 | − | 0.543580i | ||||
\(805\) | 14.8367 | − | 22.3951i | 0.522925 | − | 0.789323i | ||||
\(806\) | −1.35872 | + | 1.87011i | −0.0478587 | + | 0.0658719i | ||||
\(807\) | 7.75270 | − | 5.70013i | 0.272908 | − | 0.200654i | ||||
\(808\) | −1.16039 | − | 5.45921i | −0.0408224 | − | 0.192054i | ||||
\(809\) | 9.00759 | + | 42.3774i | 0.316690 | + | 1.48991i | 0.792234 | + | 0.610217i | \(0.208918\pi\) |
−0.475545 | + | 0.879692i | \(0.657749\pi\) | |||||||
\(810\) | 4.46112 | + | 5.85608i | 0.156748 | + | 0.205762i | ||||
\(811\) | 12.2973 | − | 16.9257i | 0.431815 | − | 0.594342i | −0.536554 | − | 0.843866i | \(-0.680274\pi\) |
0.968369 | + | 0.249524i | \(0.0802741\pi\) | |||||||
\(812\) | −3.09870 | + | 4.67729i | −0.108743 | + | 0.164141i | ||||
\(813\) | 22.8699 | − | 13.3775i | 0.802083 | − | 0.469169i | ||||
\(814\) | −1.34625 | + | 3.21572i | −0.0471860 | + | 0.112711i | ||||
\(815\) | −29.6839 | − | 51.4140i | −1.03978 | − | 1.80095i | ||||
\(816\) | 13.2106 | + | 2.72979i | 0.462465 | + | 0.0955617i | ||||
\(817\) | 9.69599 | + | 21.7776i | 0.339220 | + | 0.761900i | ||||
\(818\) | 0.396655 | − | 0.288187i | 0.0138687 | − | 0.0100762i | ||||
\(819\) | −29.2728 | + | 11.3104i | −1.02287 | + | 0.395218i | ||||
\(820\) | 17.0631 | − | 52.5147i | 0.595868 | − | 1.83389i | ||||
\(821\) | −27.5056 | + | 2.89095i | −0.959952 | + | 0.100895i | −0.571525 | − | 0.820585i | \(-0.693648\pi\) |
−0.388427 | + | 0.921480i | \(0.626981\pi\) | |||||||
\(822\) | −3.53549 | + | 1.59819i | −0.123314 | + | 0.0557433i | ||||
\(823\) | 8.40419 | − | 9.33380i | 0.292952 | − | 0.325356i | −0.578645 | − | 0.815580i | \(-0.696418\pi\) |
0.871597 | + | 0.490224i | \(0.163085\pi\) | |||||||
\(824\) | −1.08326 | + | 1.87625i | −0.0377370 | + | 0.0653624i | ||||
\(825\) | −33.4361 | + | 0.938944i | −1.16410 | + | 0.0326898i | ||||
\(826\) | −9.15380 | + | 1.36406i | −0.318501 | + | 0.0474617i | ||||
\(827\) | 29.2848 | − | 9.51521i | 1.01833 | − | 0.330876i | 0.248165 | − | 0.968718i | \(-0.420172\pi\) |
0.770168 | + | 0.637841i | \(0.220172\pi\) | |||||||
\(828\) | −17.8677 | − | 1.67328i | −0.620946 | − | 0.0581505i | ||||
\(829\) | −9.96578 | + | 22.3835i | −0.346126 | + | 0.777412i | 0.653661 | + | 0.756787i | \(0.273232\pi\) |
−0.999787 | + | 0.0206244i | \(0.993435\pi\) | |||||||
\(830\) | 1.35922 | + | 6.39464i | 0.0471793 | + | 0.221961i | ||||
\(831\) | −4.87117 | + | 15.2864i | −0.168979 | + | 0.530279i | ||||
\(832\) | 15.2318 | + | 20.9648i | 0.528068 | + | 0.726823i | ||||
\(833\) | −2.85088 | − | 14.7335i | −0.0987772 | − | 0.510486i | ||||
\(834\) | −4.96990 | + | 5.58299i | −0.172094 | + | 0.193323i | ||||
\(835\) | 6.07602 | − | 10.5240i | 0.210269 | − | 0.364197i | ||||
\(836\) | −16.4439 | − | 4.93856i | −0.568725 | − | 0.170804i | ||||
\(837\) | 10.4760 | − | 6.28836i | 0.362103 | − | 0.217358i | ||||
\(838\) | 1.69681 | − | 7.98288i | 0.0586154 | − | 0.275764i | ||||
\(839\) | 23.8380 | + | 17.3193i | 0.822978 | + | 0.597929i | 0.917564 | − | 0.397588i | \(-0.130153\pi\) |
−0.0945858 | + | 0.995517i | \(0.530153\pi\) | |||||||
\(840\) | −14.2455 | − | 3.87028i | −0.491518 | − | 0.133537i | ||||
\(841\) | 8.59156 | − | 26.4421i | 0.296261 | − | 0.911797i | ||||
\(842\) | 1.32122 | − | 1.18964i | 0.0455324 | − | 0.0409976i | ||||
\(843\) | 40.4458 | − | 4.48311i | 1.39303 | − | 0.154406i | ||||
\(844\) | −3.04729 | + | 28.9931i | −0.104892 | + | 0.997983i | ||||
\(845\) | −8.46980 | − | 1.80031i | −0.291370 | − | 0.0619326i | ||||
\(846\) | 2.91546 | + | 1.63943i | 0.100236 | + | 0.0563648i | ||||
\(847\) | 5.57447 | + | 28.5644i | 0.191541 | + | 0.981485i | ||||
\(848\) | 46.7498i | 1.60540i | ||||||||
\(849\) | 16.9393 | − | 5.61032i | 0.581355 | − | 0.192546i | ||||
\(850\) | −3.08676 | − | 0.324432i | −0.105875 | − | 0.0111279i | ||||
\(851\) | −5.30694 | + | 11.9196i | −0.181919 | + | 0.408598i | ||||
\(852\) | 24.4777 | + | 7.80008i | 0.838592 | + | 0.267226i | ||||
\(853\) | −34.7868 | − | 11.3029i | −1.19108 | − | 0.387004i | −0.354606 | − | 0.935016i | \(-0.615385\pi\) |
−0.836471 | + | 0.548012i | \(0.815385\pi\) | |||||||
\(854\) | −1.26648 | + | 4.55922i | −0.0433379 | + | 0.156013i | ||||
\(855\) | 10.9944 | + | 23.9586i | 0.376000 | + | 0.819367i | ||||
\(856\) | −0.354551 | − | 0.0753621i | −0.0121183 | − | 0.00257582i | ||||
\(857\) | 8.44434 | + | 14.6260i | 0.288453 | + | 0.499615i | 0.973441 | − | 0.228939i | \(-0.0735258\pi\) |
−0.684988 | + | 0.728555i | \(0.740192\pi\) | |||||||
\(858\) | 5.48867 | − | 1.32872i | 0.187380 | − | 0.0453616i | ||||
\(859\) | 22.8020 | + | 13.1647i | 0.777994 | + | 0.449175i | 0.835719 | − | 0.549157i | \(-0.185051\pi\) |
−0.0577249 | + | 0.998333i | \(0.518385\pi\) | |||||||
\(860\) | 17.5856 | + | 54.1229i | 0.599663 | + | 1.84557i | ||||
\(861\) | 21.4978 | + | 33.3572i | 0.732641 | + | 1.13681i | ||||
\(862\) | 0.441618 | − | 0.320854i | 0.0150416 | − | 0.0109283i | ||||
\(863\) | −12.3714 | + | 11.1393i | −0.421128 | + | 0.379185i | −0.852273 | − | 0.523098i | \(-0.824776\pi\) |
0.431145 | + | 0.902283i | \(0.358110\pi\) | |||||||
\(864\) | 3.33858 | + | 14.4899i | 0.113581 | + | 0.492957i | ||||
\(865\) | −74.2192 | − | 33.0445i | −2.52353 | − | 1.12355i | ||||
\(866\) | 3.18183 | − | 1.41664i | 0.108123 | − | 0.0481394i | ||||
\(867\) | 14.2851 | − | 16.0473i | 0.485146 | − | 0.544994i | ||||
\(868\) | −4.42405 | + | 11.2171i | −0.150162 | + | 0.380733i | ||||
\(869\) | 18.2210 | − | 33.2587i | 0.618106 | − | 1.12823i | ||||
\(870\) | −1.55010 | + | 0.00879209i | −0.0525533 | + | 0.000298080i | ||||
\(871\) | 15.6286 | + | 14.0720i | 0.529554 | + | 0.476813i | ||||
\(872\) | −2.67281 | − | 0.280923i | −0.0905127 | − | 0.00951327i | ||||
\(873\) | −5.95738 | + | 13.7997i | −0.201627 | + | 0.467049i | ||||
\(874\) | 1.94936 | + | 0.633387i | 0.0659382 | + | 0.0214246i | ||||
\(875\) | −7.06272 | − | 1.18499i | −0.238764 | − | 0.0400599i | ||||
\(876\) | −14.9948 | + | 34.1997i | −0.506628 | + | 1.15550i | ||||
\(877\) | 22.1573 | − | 9.86508i | 0.748200 | − | 0.333120i | 0.00303073 | − | 0.999995i | \(-0.499035\pi\) |
0.745169 | + | 0.666875i | \(0.232369\pi\) | |||||||
\(878\) | −2.39281 | + | 2.65749i | −0.0807535 | + | 0.0896858i | ||||
\(879\) | −11.3471 | + | 19.9137i | −0.382728 | + | 0.671673i | ||||
\(880\) | −36.5637 | − | 15.3073i | −1.23256 | − | 0.516008i | ||||
\(881\) | −4.26603 | −0.143726 | −0.0718631 | − | 0.997415i | \(-0.522894\pi\) | ||||
−0.0718631 | + | 0.997415i | \(0.522894\pi\) | |||||||
\(882\) | 4.24548 | − | 3.03959i | 0.142953 | − | 0.102348i | ||||
\(883\) | −12.2278 | − | 8.88403i | −0.411499 | − | 0.298971i | 0.362710 | − | 0.931902i | \(-0.381852\pi\) |
−0.774208 | + | 0.632931i | \(0.781852\pi\) | |||||||
\(884\) | −16.3383 | + | 1.71722i | −0.549516 | + | 0.0577565i | ||||
\(885\) | 53.9776 | + | 59.2687i | 1.81444 | + | 1.99230i | ||||
\(886\) | −1.84796 | + | 0.392796i | −0.0620834 | + | 0.0131962i | ||||
\(887\) | −0.771676 | − | 7.34200i | −0.0259103 | − | 0.246520i | −0.999809 | − | 0.0195376i | \(-0.993781\pi\) |
0.973899 | − | 0.226983i | \(-0.0728861\pi\) | |||||||
\(888\) | 7.13464 | + | 0.708990i | 0.239423 | + | 0.0237922i | ||||
\(889\) | −12.8858 | + | 6.41775i | −0.432174 | + | 0.215244i | ||||
\(890\) | 2.17226i | 0.0728142i | ||||||||
\(891\) | −29.4474 | − | 4.88372i | −0.986525 | − | 0.163611i | ||||
\(892\) | −42.7177 | + | 24.6631i | −1.43029 | + | 0.825780i | ||||
\(893\) | 8.90063 | + | 8.01416i | 0.297848 | + | 0.268184i | ||||
\(894\) | 5.99589 | + | 4.30452i | 0.200533 | + | 0.143965i | ||||
\(895\) | 10.0856 | + | 13.8817i | 0.337125 | + | 0.464013i | ||||
\(896\) | −15.0060 | − | 12.3807i | −0.501314 | − | 0.413610i | ||||
\(897\) | 20.6487 | − | 4.51157i | 0.689440 | − | 0.150637i | ||||
\(898\) | −0.315800 | − | 3.00464i | −0.0105384 | − | 0.100266i | ||||
\(899\) | −0.268927 | + | 2.55867i | −0.00896923 | + | 0.0853365i | ||||
\(900\) | 10.8269 | + | 32.0789i | 0.360897 | + | 1.06930i | ||||
\(901\) | −23.8917 | − | 13.7939i | −0.795949 | − | 0.459542i | ||||
\(902\) | −3.05003 | − | 6.45719i | −0.101555 | − | 0.215001i | ||||
\(903\) | −38.1320 | − | 14.7900i | −1.26895 | − | 0.492180i | ||||
\(904\) | 2.60068 | + | 8.00407i | 0.0864973 | + | 0.266211i | ||||
\(905\) | −19.2366 | − | 43.2061i | −0.639446 | − | 1.43622i | ||||
\(906\) | 8.31483 | − | 0.921635i | 0.276242 | − | 0.0306193i | ||||
\(907\) | −33.7241 | + | 7.16827i | −1.11979 | + | 0.238019i | −0.730377 | − | 0.683045i | \(-0.760655\pi\) |
−0.389413 | + | 0.921063i | \(0.627322\pi\) | |||||||
\(908\) | −13.2384 | − | 14.7027i | −0.439330 | − | 0.487926i | ||||
\(909\) | −1.98017 | − | 16.9844i | −0.0656781 | − | 0.563337i | ||||
\(910\) | 8.54850 | − | 0.369588i | 0.283380 | − | 0.0122517i | ||||
\(911\) | 30.2461 | − | 9.82756i | 1.00210 | − | 0.325601i | 0.238395 | − | 0.971168i | \(-0.423379\pi\) |
0.763704 | + | 0.645567i | \(0.223379\pi\) | |||||||
\(912\) | 0.0953250 | + | 16.8064i | 0.00315653 | + | 0.556515i | ||||
\(913\) | −21.7887 | − | 15.0965i | −0.721101 | − | 0.499620i | ||||
\(914\) | 6.36164 | − | 3.67289i | 0.210424 | − | 0.121489i | ||||
\(915\) | 38.9083 | − | 12.8865i | 1.28627 | − | 0.426014i | ||||
\(916\) | −1.06228 | + | 1.46210i | −0.0350987 | + | 0.0483092i | ||||
\(917\) | 38.2223 | − | 9.86761i | 1.26221 | − | 0.325857i | ||||
\(918\) | −2.64837 | − | 0.810956i | −0.0874093 | − | 0.0267655i | ||||
\(919\) | 23.7149 | + | 26.3381i | 0.782283 | + | 0.868813i | 0.994097 | − | 0.108497i | \(-0.0346038\pi\) |
−0.211814 | + | 0.977310i | \(0.567937\pi\) | |||||||
\(920\) | 9.08268 | + | 4.04387i | 0.299447 | + | 0.133322i | ||||
\(921\) | 13.6740 | + | 30.2494i | 0.450574 | + | 0.996751i | ||||
\(922\) | −0.761616 | + | 3.58312i | −0.0250825 | + | 0.118004i | ||||
\(923\) | −30.2570 | −0.995921 | ||||||||
\(924\) | 25.9893 | − | 13.8678i | 0.854986 | − | 0.456216i | ||||
\(925\) | 24.6156 | 0.809357 | ||||||||
\(926\) | 2.06722 | − | 9.72552i | 0.0679331 | − | 0.319600i | ||||
\(927\) | −3.84038 | + | 5.41392i | −0.126135 | + | 0.177817i | ||||
\(928\) | −2.86031 | − | 1.27349i | −0.0938944 | − | 0.0418045i | ||||
\(929\) | −15.3659 | − | 17.0655i | −0.504138 | − | 0.559902i | 0.436329 | − | 0.899787i | \(-0.356279\pi\) |
−0.940467 | + | 0.339885i | \(0.889612\pi\) | |||||||
\(930\) | −3.25466 | + | 0.711116i | −0.106724 | + | 0.0233184i | ||||
\(931\) | 17.2167 | − | 7.29073i | 0.564253 | − | 0.238944i | ||||
\(932\) | 9.12695 | − | 12.5622i | 0.298963 | − | 0.411488i | ||||
\(933\) | −0.979433 | − | 2.95721i | −0.0320652 | − | 0.0968146i | ||||
\(934\) | −0.0889418 | + | 0.0513505i | −0.00291026 | + | 0.00168024i | ||||
\(935\) | 18.6113 | − | 14.1696i | 0.608654 | − | 0.463394i | ||||
\(936\) | −5.92089 | − | 9.99178i | −0.193530 | − | 0.326592i | ||||
\(937\) | 19.4909 | − | 6.33298i | 0.636740 | − | 0.206889i | 0.0271818 | − | 0.999631i | \(-0.491347\pi\) |
0.609559 | + | 0.792741i | \(0.291347\pi\) | |||||||
\(938\) | −3.10304 | − | 1.61702i | −0.101318 | − | 0.0527977i | ||||
\(939\) | 2.39431 | − | 5.46085i | 0.0781353 | − | 0.178208i | ||||
\(940\) | 19.1317 | + | 21.2479i | 0.624007 | + | 0.693030i | ||||
\(941\) | 2.93042 | − | 0.622880i | 0.0955289 | − | 0.0203053i | −0.159899 | − | 0.987133i | \(-0.551117\pi\) |
0.255428 | + | 0.966828i | \(0.417784\pi\) | |||||||
\(942\) | 0.103672 | + | 0.935312i | 0.00337782 | + | 0.0304741i | ||||
\(943\) | −10.8711 | − | 24.4170i | −0.354013 | − | 0.795125i | ||||
\(944\) | 15.7938 | + | 48.6084i | 0.514046 | + | 1.58207i | ||||
\(945\) | −42.3494 | − | 15.8755i | −1.37763 | − | 0.516430i | ||||
\(946\) | 6.45476 | + | 3.53628i | 0.209862 | + | 0.114975i | ||||
\(947\) | −0.0104516 | − | 0.00603425i | −0.000339632 | − | 0.000196087i | 0.499830 | − | 0.866123i | \(-0.333396\pi\) |
−0.500170 | + | 0.865927i | \(0.666729\pi\) | |||||||
\(948\) | −37.5907 | − | 7.76758i | −1.22089 | − | 0.252279i | ||||
\(949\) | 4.59718 | − | 43.7393i | 0.149231 | − | 1.41984i | ||||
\(950\) | −0.404205 | − | 3.84575i | −0.0131141 | − | 0.124773i | ||||
\(951\) | −0.805582 | − | 3.68701i | −0.0261228 | − | 0.119559i | ||||
\(952\) | 5.20307 | − | 1.94282i | 0.168633 | − | 0.0629673i | ||||
\(953\) | −2.85355 | − | 3.92757i | −0.0924355 | − | 0.127227i | 0.760294 | − | 0.649579i | \(-0.225055\pi\) |
−0.852730 | + | 0.522352i | \(0.825055\pi\) | |||||||
\(954\) | 0.894996 | − | 9.55699i | 0.0289766 | − | 0.309419i | ||||
\(955\) | 39.2242 | + | 35.3177i | 1.26927 | + | 1.14285i | ||||
\(956\) | −32.4572 | + | 18.7392i | −1.04974 | + | 0.606069i | ||||
\(957\) | 4.55098 | − | 4.33513i | 0.147112 | − | 0.140135i | ||||
\(958\) | 1.80638i | 0.0583615i | ||||||||
\(959\) | 13.1648 | − | 19.8714i | 0.425112 | − | 0.641681i | ||||
\(960\) | −3.69308 | + | 37.1638i | −0.119194 | + | 1.19946i | ||||
\(961\) | −2.66242 | − | 25.3312i | −0.0858845 | − | 0.817136i | ||||
\(962\) | −4.06502 | + | 0.864046i | −0.131061 | + | 0.0278580i | ||||
\(963\) | −1.06000 | − | 0.331170i | −0.0341581 | − | 0.0106718i | ||||
\(964\) | −15.2176 | + | 1.59943i | −0.490125 | + | 0.0515142i | ||||
\(965\) | 5.71052 | + | 4.14893i | 0.183828 | + | 0.133559i | ||||
\(966\) | −3.13889 | + | 1.58561i | −0.100992 | + | 0.0510161i | ||||
\(967\) | 26.6391 | 0.856655 | 0.428327 | − | 0.903624i | \(-0.359103\pi\) | ||||
0.428327 | + | 0.903624i | \(0.359103\pi\) | |||||||
\(968\) | −10.0845 | + | 3.78391i | −0.324128 | + | 0.121619i | ||||
\(969\) | −8.61711 | − | 4.91014i | −0.276822 | − | 0.157736i | ||||
\(970\) | 2.74225 | − | 3.04558i | 0.0880484 | − | 0.0977876i | ||||
\(971\) | −35.6655 | + | 15.8793i | −1.14456 | + | 0.509592i | −0.889320 | − | 0.457285i | \(-0.848822\pi\) |
−0.255242 | + | 0.966877i | \(0.582155\pi\) | |||||||
\(972\) | 4.00889 | + | 29.9461i | 0.128585 | + | 0.960521i | ||||
\(973\) | 7.59838 | − | 45.2876i | 0.243593 | − | 1.45185i | ||||
\(974\) | 1.61848 | + | 0.525876i | 0.0518594 | + | 0.0168501i | ||||
\(975\) | −23.6205 | − | 32.1260i | −0.756460 | − | 1.02886i | ||||
\(976\) | 25.9885 | + | 2.73150i | 0.831871 | + | 0.0874331i | ||||
\(977\) | −2.09478 | − | 1.88615i | −0.0670180 | − | 0.0603433i | 0.634941 | − | 0.772561i | \(-0.281024\pi\) |
−0.701959 | + | 0.712217i | \(0.747691\pi\) | |||||||
\(978\) | 0.0440795 | + | 7.77148i | 0.00140951 | + | 0.248504i | ||||
\(979\) | −6.03873 | − | 6.41183i | −0.192999 | − | 0.204923i | ||||
\(980\) | 42.6944 | − | 13.0132i | 1.36382 | − | 0.415692i | ||||
\(981\) | −8.07296 | − | 1.62047i | −0.257750 | − | 0.0517376i | ||||
\(982\) | −0.0419684 | + | 0.0186856i | −0.00133927 | + | 0.000596280i | ||||
\(983\) | −21.4396 | − | 9.54551i | −0.683816 | − | 0.304454i | 0.0352679 | − | 0.999378i | \(-0.488772\pi\) |
−0.719084 | + | 0.694924i | \(0.755438\pi\) | |||||||
\(984\) | −10.8587 | + | 9.88934i | −0.346164 | + | 0.315261i | ||||
\(985\) | −12.5009 | + | 11.2558i | −0.398310 | + | 0.358640i | ||||
\(986\) | 0.471828 | − | 0.342803i | 0.0150261 | − | 0.0109171i | ||||
\(987\) | −20.5244 | + | 1.00402i | −0.653298 | + | 0.0319582i | ||||
\(988\) | −6.32488 | − | 19.4660i | −0.201221 | − | 0.619295i | ||||
\(989\) | 23.8557 | + | 13.7731i | 0.758567 | + | 0.437959i | ||||
\(990\) | 7.18162 | + | 3.82923i | 0.228247 | + | 0.121701i | ||||
\(991\) | 21.6414 | + | 37.4841i | 0.687463 | + | 1.19072i | 0.972656 | + | 0.232250i | \(0.0746088\pi\) |
−0.285193 | + | 0.958470i | \(0.592058\pi\) | |||||||
\(992\) | −6.58193 | − | 1.39903i | −0.208976 | − | 0.0444193i | ||||
\(993\) | −0.264840 | + | 2.66511i | −0.00840443 | + | 0.0845746i | ||||
\(994\) | 4.87444 | − | 1.25840i | 0.154608 | − | 0.0399140i | ||||
\(995\) | 12.8645 | + | 4.17991i | 0.407831 | + | 0.132512i | ||||
\(996\) | −8.14620 | + | 25.5639i | −0.258122 | + | 0.810023i | ||||
\(997\) | −14.3922 | + | 32.3255i | −0.455807 | + | 1.02376i | 0.528764 | + | 0.848769i | \(0.322656\pi\) |
−0.984570 | + | 0.174989i | \(0.944011\pi\) | |||||||
\(998\) | 5.49209 | + | 0.577242i | 0.173849 | + | 0.0182723i | ||||
\(999\) | 21.5612 | + | 4.20086i | 0.682165 | + | 0.132909i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 231.2.bc.a.5.15 | yes | 224 | |
3.2 | odd | 2 | inner | 231.2.bc.a.5.14 | ✓ | 224 | |
7.3 | odd | 6 | inner | 231.2.bc.a.38.15 | yes | 224 | |
11.9 | even | 5 | inner | 231.2.bc.a.152.14 | yes | 224 | |
21.17 | even | 6 | inner | 231.2.bc.a.38.14 | yes | 224 | |
33.20 | odd | 10 | inner | 231.2.bc.a.152.15 | yes | 224 | |
77.31 | odd | 30 | inner | 231.2.bc.a.185.14 | yes | 224 | |
231.185 | even | 30 | inner | 231.2.bc.a.185.15 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.bc.a.5.14 | ✓ | 224 | 3.2 | odd | 2 | inner | |
231.2.bc.a.5.15 | yes | 224 | 1.1 | even | 1 | trivial | |
231.2.bc.a.38.14 | yes | 224 | 21.17 | even | 6 | inner | |
231.2.bc.a.38.15 | yes | 224 | 7.3 | odd | 6 | inner | |
231.2.bc.a.152.14 | yes | 224 | 11.9 | even | 5 | inner | |
231.2.bc.a.152.15 | yes | 224 | 33.20 | odd | 10 | inner | |
231.2.bc.a.185.14 | yes | 224 | 77.31 | odd | 30 | inner | |
231.2.bc.a.185.15 | yes | 224 | 231.185 | even | 30 | inner |